(with G. Borgioli and M. Ughi), Stefan Problems with Nonlinear Boundary Conditions: The Polygonal Method,ZAMM,58, (1978), 530-546.(with G. Borgioli and M. Ughi)Il Metodo di H\"uber per Problemi a Contorno Libero con Dominio Inizialmente Degenere,Sem. Inst. Mat. U. Dini, Florence,10,(1978), 1-23.(with J.R. Cannon)On the Existence of Solutions of Boundary Value Problems in Fast Chemical Reactions,Boll. Un. Mat. Ital.5,(15)--B, (1978), 835-843.(with J.R. Cannon)The Initial Value Problem for the Boussinesq Equations with Data in L^{p},Approximation Methods for Navier Stokes Equations,Springer Lecture Notes, 771, (1979), 129-144.(with J.R. Cannon)The Steady State Stefan Problem with Convection with Mixed Temperature and Nonlinear Boundary Conditions,Proceedings of Free Boundary Problems Symposium, Pavia, (1979), 232--265; Edited by C. Baiocchi and E. Magenes.(with J.R. Cannon and G.K. Knightly)The Steady State Stefan Problem with Convection,Archive for Rational Mechanics and Analalysis,73,(1980), 79-97.(with J.R. Cannon), On the Existence of Weak Solutions to an n-dimensional Stefan Problem with Nonlinear Boundary Conditions,,SIAM Jour. Math. Anal.11(4), (1980), 632-645.- Regularity Results for the Porous Medium Equation,
Annali di Matematica Pura ed ApplicataCXXI(IV), (1980), 249-262.- Regularity Results for the two Phase N-dimensional Stefan Problem,
Boll. Un. Mat. Ital.,1, (1980), 129-152.(with M. Pierre)On the Maximum Principle for Pseudo-Parabolic Equations,Indiana Univ. Math. Jour.30, (1981), 821-854.- Interior and Boundary Regularity for a Class of Free Boundary Problems,
Pitman 78, (1981), 383-395; Edited by A.Fasano and M. Primicerio.(with R.E. Showalter)Implicit Degenerate Evolution Equations and Applications,,SIAM Jour. Math. Anal.12(5), (1981), 731-751.- Continuity of Weak Solutions to Certain Singular Parabolic Equations,
Annali di Matematica Pura ed ApplicataCXXX(IV), (1982), 131-177.(with R.E. Showalter)A Pseudo-Parabolic Variational Inequality and Stefan Problem,Non Linear Analysis TMA6, (1982), 279-299.- Continuity for Singular Parabolic Equations,
Nonlinear Phenomena in Mathematical Sciences, Acad. Press, (1982), 307-312; Edited by Laksmikantam.(with R.E. Showalter)Free Boundary Problems for a Degenerate Parabolic System,Journal of Differential Equations,50(1), (1983), 1-19.- Continuity of Weak Solutions to a General Porous Medium Equation,
Indiana Univ. Math. Jour.32(1), (1983), 83-118.(with R. Spigler)An Algorithm for the One Phase Stefan Problem,,Rendiconti Seminario Matematico Univ. Padova69, (1983), 109-134.(with J.R. Cannon and K.G. Knightly)The Bidimensional Stefan Problem with Convection: The Time Dependent Case,Comm. in Part. Diff. Eqs.8(14), (1983), 1549-1604.- Local Regularity of Weak Solutions of Degenerate Elliptic Equations,
Non Linear Analysis TMA7(8), (1983), 827-850.- Change of Phase with Convection,
Applied Nonlinear Functional Analysis, Peter Lang 25, (1983), 1-18; Edited by R. Gorenflo and K.H. Hoffmann.(with N.S. Trudinger)Harnack Inequalities for Quasi-Minima of Variational Integrals,Ann. de l'Institut H. Poincaré,1(4), (1984), 295-308.(with A. Friedman)The Ill-Posed Hele-Shaw Model and the Stefan Problem for Supercooled Water,Trans. Amer. Math. Soc.,282(1),(1984),183-204.(with D. Hoff)An Interface Tracking Algorithm for the Porous Medium Equation,Trans. Amer. Math. Soc.,, 284(2), (1984), 463-500.(with A. Friedman)Regularity of Solutions of Nonlinear Degenerate Parabolic Systems,Jour. f"ur die Reine und Angewandte Mathematik349, (1984), 83-128.(with H.W. Alt)Flow of Oil and Water Through Porous Media,Asterisque, Soc. Mathematique de France, 118, (1984), 89-108.- Conduction-Convection Problems with Change of phase,
Free Boundary Problems and Applications, Pitman, (1984), 1-14; Edited by Fremond, Damlamian and Bossavit.(with H.W. Alt)Non Steady Flow of Water and Oil Through Inhomogeneous Porous Media,Annali Scuola Normale Superiore di Pisa,Ser. IV, XII(3), (1985), 335-392.- The Flow of Two Immiscible Fluids Through a Porous Medium; Regularity of the Saturation,
Theory and Applications of Liquid Crystals, Springer Verlag Lecture Notes, #5,(1985), 123-143; Edited by D. Kinderlehrer and Ericksen.- Periodic Solutions of the Dam Problem,
Nonlinear Evolution Equations: Qualitative Properties of Solutions, Pitman # 149, (1985), 77-84; Edited by A. Tesei and L. Boccardo.- Remarks on Some Ill Posed Problems.
Nonlinear PDE's, Australian Nat. Univ. Camberra, (1985), 32-56; Edited by N. Trudinger and L. Simon.(with C. Elliott)Existence for a Problem in Ground Freezing,Non Linear Analysis TMA9(9), (1985), 953-968.(with A. Friedman)H"older Estimates for Nonlinear Degenerate Parabolic Systems,Jour. f"ur die Reine und Angewandte Mathematik357, (1985), 1-22.(with A. Fasano and M. Primicerio)On a Free Boundary Problem Related to an Irreversible Process,Control and Cybernetics,14(1-3), (1985), 195-219.- On the Local Behavior of Solutions of Degenerate Parabolic Equations with Measurable Coefficients,
Annali Scuola Normale Superiore di Pisa,Ser. IV, X(3), (1986), 487-535.(with A. Friedman)Bubble Growth in Porous Media,Indiana Univ. Math. Jour.35(3), (1986), 573-606.(with C. Elliot and A. Friedman)The Free Boundary of a Flow in a Porous Body Heated from its Boundary,Non Linear Analysis TMA10, (1986), 879-900.- A Boundary Modulus of Continuity for a Class of Singular Parabolic Equations,
Journal of Differential Equations,63(3), (1986), 418-447.(with A. Friedman)Periodic Behavior of Solutions for the Evolutionary Dam Problem and Related Free Boundary Problems,Comm. in Part. Diff. Eqs.11(12), (1986), 1297-1377.(with A. Friedman)Conduction-Convection with a Change of Phase,Journal of Differential Equations,62(2), (1986), 129-185.- Harnack Type Inequalities for Some Degenerate Parabolic Equations,
Nonlinear Diffusion Equations and Their Equilibrium StatesMathematical Sciences Research Institute, Publ.Springer#12, (1987), 267-272; Edited by W.M. Ni, L.A. Peletier and J. Serrin.(with R. Gariepy)On the Local Behavior of Solutions for an Elliptic-Parabolic Equation,Archive for Rational Mechanics and Analysis,97(1), (1987), 1-17.- Intrinsic Harnack--Type Inequalities, for Solutions of Degenerate Parabolic Equations,
Archive for Rational Mechanics and Analysis,100(2), (1987), 129-147.- Local Regularity and Extinction Free Boundary for a Singular Parabolic Equation,
Free Boundary Problems and Applications, Pitman, (1988), 1-7; Edited by J. Sprekels and K.H. Hoffman.- Initial Traces for Degenerate and Singular Evolution Equations,
Problems Involving Change of Type, Springer Lecture notes in Physics, # 359,(1988), 175-190; Conf. for the 60th birthday of J. Hale; Edited by K. Kirchg"assner.(with Chen Ya-zhe)On the Local Behaviour of Solutions of Singular Parabolic Equations,Archive for Rational Mechanics and Analysis,103(4), (1988), 319-346.- Harnack Estimates in Certain Function Classes,
Atti Seminario Matematico e Fisico Univ. ModenaXVI, (1988), 173-182; invited paper for the 70th ofRenato Nardini.(with T.Battacharya and J.Manfredi)Limits as p->\infty of Delta_{p}u_{p}=f, and Extremal Problems in W^{{1,infty}},Rendiconti Seminario Matematico Univ. Torino.(Fasc. Spec.), (1989), 15-68(with Chen Ya-zhe)Boundary Estimates for Solutions of Nonlinear Degenerate Parabolic Systems,Jour. f"ur die Reine und Angewandte Mathematik395, (1989), 102-131.(with M.A. Herrero)On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation,Trans. Amer. Math. Soc.,314(1), (1989), 187-224.(with D.Andreucci)A New Approach to Initial Traces in Nonlinear Filtration,Ann. de l'Institut H. Poincaré,7(4), (1990), 305-334.(with M.A. Herrero)Nonnegative Solutions of the Evolution p-Laplacian Equation; Initial Traces and Cauchy Problem when 1<p< 2,Archive for Rational Mechanics and Analysis,1(3), (1990), 225--290.(with D.Andreucci)Behaviour at Infinity of Solutions of Certain Degenerate Evolution Equations with Strongly Nonlinear Sources.Annali Scuola Normale Superiore di Pisa,Ser. IV, XV(3), (1991), 363-441.(with Y.C.Kwong and V.Vespri)Local Analiticity and Asymptotic Behaviour of Solutions of Certain Singular Parabolic Equations,Indiana Univ. Math. Jour.40(2), (1991), 741-765.(with D.Andreucci)Weak Solutions of Equations of the Type of Nonlinear Filtration,Non Linear Analysis TMA19(1), (1992), 29-41.(with Y.C.Kwong)Harnack Estimates and Extinction Profile for Weak Solutions of Certain Singular Parabolic Equations,Trans. Amer. Math. Soc.,330(2), (1992), 783-811.(with Chen Ya-Zhe)H"older Estimates of Solutions of Singular Parabolic Equations with Measurable Coefficients,Archive for Rational Mechanics and Analysis,118, (1992), 257-271.(with J. Manfredi and V. Vespri)A Note on Boundary Regularity for Certain Degenerate Parabolic Equations,Nonlinear Diffusion Equations and Their Equilibrium States, Birkh"auser, Boston,1992, 177-182; Edited by N.G. Lloyd, W.M. Ni, L.A. Peletier and J. Serrin.(with J. Manfredi)On the Higher Integrability of the Gradient of Weak Solutions of Certain Degenerate Elliptic Equations,American Journal of Math.,115(5), (1993), 1107-1134.(with Y-Z Chen)On the Harnack Inequality for Nonnegative Solutions of Singular Parabolic Equations,Degenerate Diffusion; The IMA Volumes in Math. and its Appl., Springer47, (1993), 61-69; Edited by W.M. Ni, L.A. Peletier and J.L. Vazquez.(with M. O'Leary)Three-Dimensional Conduction-Convection with Change of Phase,Archive for Rational Mechanics and Analysis,123, (1993), 99-116.(with M. O'Leary)Local C^{a}Convergence of the Elliptic Regularizations of Parabolic Equations,Meccanica,28, (1993), 97-102; (invited paper for the 70th birthday of G. Sestini).- Degenerate and Singular Parabolic Equations,
Recent Advances in Partial Diff. Equ., J. Wiley, Research in Applied Mathematics, Editor P.G. Ciarlet, (1994), 55-84.(with V. Vespri)Continuity for Bounded Solutions of Multiphase Stefan Problem,Rendiconti Accademia Nazionale dei Lincei9(5), (1994), 297-302.(with V. Vespri)On the Singular Equation b(u)_{t}=Delta u.Archive for Rational Mechanics and Analysis,132, (1995), 247-309.(with M. O'Leary), Conduction-Convection problems with Change of Phase,Nonlinear Problems in Applied Mathematics, Nov. 1995, 104-115; SIAM special Volume, for the 70th birthday of I. Stackgold. Edited by T.S. Angell, L.P. Cook, R.E. Kleinman and W.E. Olmstead.(with D. Diller)About a Singular Parabolic Equation arising in Thin Film Dynamics and in the Ricci Flow for CompleteR,^{2}Lecture Notes in Pure and Applied Mathematics, Marcel DekkerNew York, Vol. 177, Nov. 1995, 103-120. Special Volume for the 70th birthday of C. Pucci. Edited by G. Talenti, E. Vesentini and P. Marcellini.(with D. Diller and S. Davis), Some a Priori Estimates for a Singular Evolution Equation Arising in Thin Film Dynamics,,SIAM Jour. Math. Anal.27(3), (1996), 638-660.(with D. Diller)On the Asymptotic Behavior of Drying a Photographic Film,Advances in Diff. Equations,1(6), (1996), 989-1003.(with G.Alessandrini), Determining 2-Dimensional Cracks in 3--Dimensional Bodies: Uniqueness and Stability,Indiana Univ. Math. Jour.46(1), (1997), 1-82.- Parabolic Equations with Multiple Singularities or Degeneracies;
Equadiff 9Brno, (1997) 25-48(with D. Diller)A New Form of the Sobolev Multiplicative Inequality and Applications to the Asymptotic Decay of Solutions to the Neuman Problem for Quasilinear Parabolic Equations with Measurable CoefficientsNat. Acad. of Sciences of Ukraine,Nonlinear Boundary Value Problems Kiev, Ukraine, (1997), 8, 81--88.(with D. Diller)Singular Semilinear Elliptic equations inL,^{1}(R^{ N})Non Linear Differential Equations and their Applications#35, (1998), 143-182; Birkh"auser. Invited paper for the H. Amann Anniversary Volume.(with D. Andreucci and G. Caruso), Fingering in a Hele-Shaw Cell as an Obstacle-like ProblemIndiana Univ. Math. Jour.49(4), 2000, 1287--1321.(with G.Q. Cheng)Stability of Entropy Solutions to the Cauchy Problem for a Class of Hyperbolic-Parabolic Equations,SIAM Jour. Math. Anal.33(4), 751-762.(with D. Andreucci and P. Bisegna), Homogenization and Concentrated Capacity in Reticular Almost Disconnected Structures,Comptes Rendus Acad. des Sciences ParisSer. I, 335(4), (2002), 329-332.(with D. Andreucci and P. Bisegna)Homogenization and Concentrated Capacity for the Heat Equation with non Linear Variational Data in Reticular Almost Disconnected Structures, and Applications to Visual Transduction,Annali di Matematica Pura e Applicata182(4), 2003, 375-407(wih H. Khanal V. Alexiades and H. Hamm), Numerical Simulations of diffusion of Second Messengers cGMP and Ca2+ in Rod PhotoreceptorsAmerican Inst. of PhysicsVol. 665, Unsolved Problems of Noise and Fluctuations, Washington DC, (2003), 165-172(with D. Andreucci, P. Bisegna, and H.E. Hamm), Mathematical Model of the Spatio-Temporal Dynamics of Second Messengers in Visual Transduction,Biophysical Journal,85:1358-1376 (2003)(with Andreucci and Caruso)Ill-Posed Hele-Shaw Flows,Free Boundary Problems, ISNM Vol.147, Birkhauser, 2003, 27-52.(with H. Khanal and V. Alexiades), Response of Dark-Adapted Retinal Rod PhotoreceptorsProceedings of Dynamical Systems and Applications, Morehouse Vol 4, 2004, 138-145(with D.Andreucci and P. Bisegna), Mathematical Problems in Visual Transduction, (Trends in Partial Differential Equations in Mathematical Physics, Vol 81, Birkhauser 2005); invited paper for the 70th birthday of V.A. Solonnikov(with J. M. Urbano and V. Vespri)Current Issues on Singular and Degenerate Evolution Equations (pages 1-109)Invited Chapter for theHandbook of Differential EquationsElsevier, 2004, Vol.1, 169-286 (Edited by C. Dafermos and E. Feireisl)(with J.N. McLaughlin, L.Shen, M.Holinstat, J. D. Brooks, and H.E. Hamm)Functional Selectivity of G Protein Signaling by Agonist Peptides and Thrombin for the Protease-Activated Receptor-1,J. of Biological Chemistry and Molecular Biology, Vol. 280(6), July 2005, 25048-25059(with D. Andreucci and P. Bisegna)Homogenization and Concentration of Capacity in the Rod Outer Segment with Incisures(special issue in memory of C. Pucci)Applicable Analysis, 85(1-3), 2006, 303-331(with G. Caruso, H. Khanal, V. Alexiades, F. Rieke, H.E. Hamm)Mathematical and Computational Modeling of Spatio-Temporal Signaling in Rod Phototransduction,IET Systems Biology,152(3), 2005, 119-137.(with U.Gianazza and V. Vespri)Local Clustering of the Non-Zero Set of Functions in W^{1,1}Rend. Accad. Naz. Lincei,17,(2006), 223-225(with D.Andreucci, L. Shen and H.E. Hamm)Fluctuations of the Single Photon response in Visual Transduction,Americal Inst. of Physics, Noise and Fluctuations, 2005, 553-556.(with G. Caruso, P. Bisegna, L. Shen, D. Andreucci, H.E. Hamm)Modeling the Role of Incisures in Phototransduction in Vertebrate PhotoreceptionBiophysical Journal,91:1192-1212 (2006)(with P. Hinow, C.E. Rogers, C.E. Barbieri, J.A. Pietenpol, A.Kenworthy)The DNA binding activity of p53 displays reaction-diffusion kineticsBiophysical Journal,91:330-342 (2006)(with U.Gianazza and V. Vespri)Intrinsic Harnack Estimates for Nonnegative Local Solutions of Degenerate Parabolic Equations,ERA-AMS12(2006), 95-99(with U.Gianazza and V. Vespri)Intrinsic Harnack Estimates for Non-Negative Solutions of Quasilinear Degenerate Parabolic Equations.Acta Mathematica, 200, (2008), 181-209(with U.Gianazza and V. Vespri)Sub-Potential Lower Bounds for Non-Negative Solutions to Certain Quasi-Linear Degenerate Parabolic Equations,Duke Mathematical Journal,143(1), 2008, 1-15(with U.Gianazza and V. Vespri)Forward, Backward and Elliptic Harnack Inequalities for Non-Negative Solutions to Certain Singular Parabolic Differential Equations,Ann. Scuola Norm. Sup. di Pisa Cl. Sc.(5) Vol. IX, (2010), 385-422(with U.Gianazza and V. Vespri)Intrinsic Harnack Estimates for Non-Negative Solutions of Quasilinear Singular Parabolic Partial Differential Equations.Rend. Accad. Naz. Lincei,18,(2007), 359-364(with G. Caruso, P. Bisegna, L. Shen, D. Andreucci, S. Gurevich and H.E. Hamm)Diffusion of the Second messengers in the Cytoplasm Acts as a Variability Suppressor of the Single Photon response in Vertebrate PhototransductionBiophysical Journal,94(9):3363-3384 (2008)(with Xiao-Hong Wen, L. Shen, R. S. Brush, N. Michaud, M.R. Al-Ubaidi, V. Gurevich, H.E. Hamm, J. Lem and C.L. Makino)Over-Expression of Rhodopsin Alters the Structure and Photoresponse of Rod Photoreceptors,Biophysical Journal,96(3):929-950, (2009)(with L. Shen, P. Bisegna, G. Caruso, D. Andreucci, S. Gurevich and H.E. Hamm)Dynamics of Mouse Rod Phototransduction and its Sensitivity to Variation of Key parameters,IET Systems Biology,4(1), 2010, 12-32.(with Minchul Kang, Charles A Day, Kimberly R. Drake, and Anne Kenworthy)A Generalization of Theory for 2D Fluorescence Recovery after Photobleaching, Applicable to Confocal Laser Scanning Microscopes,Biophysical Journal,97(5):1501-1511,(2009)(with U.Gianazza and V. Vespri)Continuity of the Saturation in the Flow of two Immiscible Fluids in a Porous Medium,Indiana Univ. Math. Journal (in press)(with U.Gianazza and V. Vespri)Alternative Forms of the Harnack Inequality for Non-Negative Solutions to Certain Degenerate and Singular Parabolic Equations,Rend. Accad. Naz. Lincei,20, (2009), 369-377(with U.Gianazza and V. Vespri)Harnack Type Estimates and Holder Continuity for Non-Negative Solutions to Certain Sub-Critically Singular Parabolic Partial Differential Equations,Manuscripta Mathematica131, (2010), 231-245(with U.Gianazza and V. Vespri)A New Approach to the Expansion of the Positivity Set of Non-Negative Solutions to Certain Singular Parabolic Partial Differential Equations,Proc. AMS138(10), (2010), 3521-3529(with U.Gianazza and V. Vespri)Liouville-Type Theorems for Certain Degenerate and Singular Parabolic EquationsComptes Rendus Acad. des Sciences ParisSer.I, 348, (2010), 873-877.(with Minchul Kang, Charles Day, and A Kenworthy)A quantitative approach to analyze binding diffusion kinetics by confocal FRAP,Biophysical Journal,99(5):2737-2747,(2010).(with G. Caruso, P. Bisegna, L. Lenoci, D. Andreucci, V. Gurevich and H.E. Hamm)Kinetics of Rhodopsin Deactivation and Its Role in Regulating Recovery and Reproducibility of Rod PhotoresponsePLoS Computational Biology6(12), Dec. 12 2010, 1-15.(L. Lenoci, M. Duvernay, S. Satchell, and H.E. Hamm)Mathematical Model of PAR1-Mediated Activation of PlateletsMolecular BioSystems,7(4), 2011, 1129-1137(with Minchul Kang, and A Kenworthy)Proposed Correction to the Feder Equations (Feder TJ, Brust-Mascher I, Slattery JP, Webb WW, 1996, Biophys. J.)70(6):2767-73Biophysical Journal,100(3), 2011791--792.(with L. Lenoci and H.E. Hamm)Identification of the Key Parameters in a Mathematical Model of PAR1-Mediated Signaling in Endothelial Cells.[q-bio.MN].arXiv:1101.3215v1(with G. Caruso, P. Bisegna, L. Lenoci, D. Andreucci, V. Gurevich and H.E. Hamm)Identification of key factors that reduce the variability of the single photon response,PNAS 108(19), 2011, 7804-7807(with U. Gianazza and N. Liao), On the Local Behavior of a Logarithmically Singular Equation,Discrete and Continuous Dynamical Systems,17(6), 2012, 1841-1858(Invited paper for a Special Issue in Honor of A. Friedman).(with U. Gianazza and N. Liao), Logarithmically Singular Parabolic Equations as Limits of the Porous Medium Equation,Non Linear Analysis TMA,85(12), 2012, 4513-4533.(Invited paper for a Special Issue in honor of V. Lakshmikantham.)Published on line on in http://dx.doi.org/10.1016/j.na.2012.01.001.(with C.L. Makino, Xiao-Hon Wen, N.A. Michaud, H.I. Covington, H.E. Hamm and G. Caruso)Rhodopsin Expression Level Affects Rod Outer Segment Morphology and Photoresponse Kinetics,PLoS One7(7), Issue 5, 2012, 1-7, a37832.M. Kang, C. A. Day, A. Kenworthy and E.DiBenedetto, Simplified Equation to Extract Diffusion Coefficients from Confocal FRAP Data,Traffic13, 2012, 1589-1600(with U. Gianazza and N. Liao), Two Remarks on the Local Behavior of Solutions to Logarithmically Singular Diffusion Equations and its Porous-Medium Type Approximations,Rivista di Matematica Univ. di Parma,5(1), 2014, 139--182.(with U.Gianazza)A Wiener-type Condition for Boundary Continuity of Quasi-Minima of Variational Integrals,Manuscripta Mathematica,149(3-4), 2016, 339-346;DOI: 10.1007/s00229-015-0780-4.(with U.Gianazza and Colin Klaus)A Necessary and Sufficient Condition for the Continuity of Local Minima of Parabolic Variational Integrals with Linear Growth,Advances in Calculus of Variations,DOI::10.1515/acv-2015-0014. 10(3), (2017), 209-221.(with Colin Klaus, Khrisnan Raghunathan and Anne Kenworty)Analysis of Diffusion in curved surfaces and its application to tubular membranesMolecular Biology of the Cell,DOI:10.1091/mbc.E16-06-0445.(with U.Gianazza)Some Properties of the DeGiorgi ClassesRend. Ist. Mat. Univ. Trieste,48, 2016, DOI:10.13137/0049-4704i;(with U.Gianazza and V. Vespri)Remarks on Local Boundedness and Local H\"older Continuity of Local Weak Solutions to Anisotropic p-Laplacian Equations,Journal of of Elliptic and Parabolic Equations,2(1), 2017, 157-169. Online Jan 9 2017,DOI: 10.1007/BF03377399