Edit Profile (opens in new tab) DiBenedetto, Emmanuele Compute Distance To: Compute Author ID: dibenedetto.emmanuele Published as: DiBenedetto, Emmanuele; DiBenedetto, E.; DiBenedetto, Emmanuelle; DiBenedetto, Emanuelle; Dibenedetto, Emmanuele more...less Documents Indexed: 103 Publications since 1978, including 7 Books 4 Contributions as Editor Biographic References: 4 Publications Co-Authors: 39 Co-Authors with 79 Joint Publications 1,418 Co-Co-Authors all top 5 Co-Authors 25 single-authored 19 Gianazza, Ugo Pietro 19 Vespri, Vincenzo Riccardo 9 Andreucci, Daniele 8 Friedman, Avner 5 Cannon, John Rozier 4 Bisegna, Paolo 4 Chen, Yazhe 4 Diller, David J. 3 Liao, Naian 3 Showalter, Ralph E. 2 Alt, Hans Wilhelm 2 Caruso, Giovanni 2 Chen, Gui-Qiang G. 2 Elliott, Charles M. 2 Herrero, Miguel Ángel 2 Knightly, George H. 2 Kwong, Ying-Chuen 2 Manfredi, Juan J. 2 Perthame, Benoît 2 Stevens, Angela 2 Urbano, José Miguel 1 Alessandrini, Giovanni 1 Alexiades, Vasilios 1 Bertsch, Michiel 1 Borgioli, Giovanni 1 Davis, Stephen Howard 1 Fasano, Antonio 1 Gariepy, Ronald F. 1 Giannazza, Ugo 1 Hoff, David 1 Khanal, Harihar 1 Klaus, Colin 1 Pierre, Michel 1 Primicerio, Mario 1 Ricci, Fulvio 1 Safonov, Mikhail V. 1 Spigler, Renato 1 Trudinger, Neil Sidney 1 Ughi, Maura all top 5 Serials 8 Archive for Rational Mechanics and Analysis 7 Indiana University Mathematics Journal 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal für die Reine und Angewandte Mathematik 4 Transactions of the American Mathematical Society 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 SIAM Journal on Mathematical Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Journal of Differential Equations 2 Manuscripta Mathematica 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications in Partial Differential Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Oberwolfach Reports 2 Cornerstones 1 Applicable Analysis 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Acta Mathematica 1 American Journal of Mathematics 1 Control and Cybernetics 1 Duke Mathematical Journal 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti del Seminario Matematico della Università di Padova 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Bollettino della Unione Matemàtica Italiana. Supplemento 1 Advances in Differential Equations 1 Electronic Research Announcements of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems. Series B 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Boundary Value Problems 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Contemporary Mathematics 1 Advances in Calculus of Variations 1 Rivista di Matematica della Università di Parma. New Series 1 Journal of Elliptic and Parabolic Equations 1 Universitext 1 Springer Monographs in Mathematics 1 Birkhäuser Advanced Texts. Basler Lehrbücher all top 5 Fields 98 Partial differential equations (35-XX) 25 Fluid mechanics (76-XX) 10 Classical thermodynamics, heat transfer (80-XX) 6 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 Ordinary differential equations (34-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 3,635 times in 2,460 Documents Cited by ▼ Year ▼ Degenerate parabolic equations. Zbl 0794.35090DiBenedetto, Emmanuele 846 1993 \(C^{1+\alpha}\) local regularity of weak solutions of degenerate elliptic equations. Zbl 0539.35027DiBenedetto, E. 564 1983 Hölder estimates for non-linear degenerate parabolic systems. Zbl 0549.35061DiBenedetto, Emmanuele; Friedman, Avner 174 1985 On the higher integrability of the gradient of weak solutions of certain degenerate elliptic systems. Zbl 0805.35037DiBenedetto, Emmanuele; Manfredi, J. 157 1993 Continuity of weak solutions to a general porous medium equation. Zbl 0526.35042DiBenedetto, Emmanuele 143 1983 Harnack’s inequality for degenerate and singular parabolic equations. Zbl 1237.35004DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 99 2011 On the Cauchy problem and initial traces for a degenerate parabolic equation. Zbl 0691.35047DiBenedetto, Emmanuele; Herrero, M. A. 86 1989 Harnack estimates for quasi-linear degenerate parabolic differential equations. Zbl 1221.35213DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 82 2008 Regularity of solutions of nonlinear degenerate parabolic systems. Zbl 0527.35038DiBenedetto, Emmanuele; Friedman, Avner 76 1984 Implicit degenerate evolution equations and applications. Zbl 0477.47037DiBenedetto, Emmanuele; Showalter, R. E. 75 1981 Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012DiBenedetto, E.; Trudinger, Neil S. 65 1984 Continuity of weak solutions to certain singular parabolic equations. Zbl 0503.35018DiBenedetto, Emmanuele 58 1982 Real analysis. Zbl 1012.26001DiBenedetto, Emmanuele 57 2002 Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\). Zbl 0726.35066DiBenedetto, Emmanuele; Herrero, M. A. 55 1990 On the Cauchy problem and initial traces for a class of evolution equations with strongly nonlinear sources. Zbl 0762.35052Andreucci, D.; DiBenedetto, Emmanuele 54 1991 On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients. Zbl 0635.35052DiBenedetto, Emmanuele 54 1986 Current issues on singular and degenerate evolution equations. Zbl 1082.35002DiBenedetto, Emmanuele; Urbano, José Miguel; Vespri, Vincenzo 48 2004 Nonsteady flow of water and oil through inhomogeneous porous media. Zbl 0608.76082Alt, H. W.; DiBenedetto, Emmanuele 46 1985 Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations. Zbl 1206.35053DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 38 2010 On the maximum principle for pseudoparabolic equations. Zbl 0495.35047DiBenedetto, Emmanuele; Pierre, Michel 37 1981 Partial differential equations. Zbl 0818.35001DiBenedetto, Emmanuele 36 1995 The ill-posed Hele-Shaw model and the Stefan problem for supercooled water. Zbl 0621.35102DiBenedetto, Emmanuele; Friedman, Avner 36 1984 On the local behavior of solutions of singular parabolic equations. Zbl 0673.35047Chen, Ya-Zhe; DiBenedetto, Emmanuele 34 1988 The initial value problem for the Boussinesq equations with data in \(L^p\). Zbl 0429.35059Cannon, J. R.; DiBenedetto, Emmanuele 33 1980 Addendum to “Hölder estimates for nonlinear degenerate parabolic systems”. Zbl 0595.35065DiBenedetto, Emmanuelle; Friedman, Avner 33 1985 Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations. Zbl 0708.35017DiBenedetto, Emmanuele 31 1988 Hölder estimates of solutions of singular parabolic equations with measurable coefficients. Zbl 0836.35029Chen, Yazhe; DiBenedetto, E. 30 1992 Periodic behaviour for the evolutionary dam problem and related free boundary problems. Zbl 0624.35084DiBenedetto, Emmanuele; Friedman, Avner 27 1986 Partial differential equations. 2nd ed. Zbl 1188.35001DiBenedetto, Emmanuele 25 2010 On the singular equation \(\beta (u)_ t=\Delta u\). Zbl 0849.35060DiBenedetto, E.; Vespri, V. 25 1995 A boundary modulus of continuity for a class of singular parabolic equations. Zbl 0606.35044DiBenedetto, Emmanuele 25 1986 Local space-analyticity of solutions of certain singular parabolic equations. Zbl 0784.35055DiBenedetto, Emmanuele; Kwong, Y.; Vespri, V. 24 1991 Boundary estimates for solutions of nonlinear degenerate parabolic systems. Zbl 0661.35052Chan, Yazhe; DiBenedetto, Emmanuele 22 1989 Harnack estimates and extinction profile for weak solutions of certain singular parabolic equations. Zbl 0772.35006DiBenedetto, Emmanuele; Kwong, Y. C. 21 1992 Stability of entropy solutions to the Cauchy problem for a class of nonlinear hyperbolic-parabolic equations. Zbl 1027.35080Chen, Gui-Qiang; DiBenedetto, Emmanuele 21 2001 Local clustering of the non-zero set of functions in \(W^{1,1} (E)\). Zbl 1223.46034DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 20 2006 About a singular parabolic equation arising in thin film dynamics and in the Ricci flow for complete \(\mathbb{R}^ 2\). Zbl 0846.35070DiBenedetto, Emmanuele; Diller, David J. 19 1996 Some a priori estimates for a singular evolution equation arising in thin-film dynamics. Zbl 0854.35014Davis, Stephen H.; DiBenedetto, Emmanuele; Diller, David J. 19 1996 Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability. Zbl 0879.35040Alessandrini, G.; DiBenedetto, E. 19 1997 A new approach to initial traces in nonlinear filtration. Zbl 0723.35014Andreucci, D.; DiBenedetto, Emmanuele 18 1990 An interface tracking algorithm for the porous medium equation. Zbl 0564.76090DiBenedetto, E.; Hoff, David 18 1984 Bubble growth in porous media. Zbl 0667.35074DiBenedetto, Emmanuele; Friedman, Avner 18 1986 On the existence of weak-solutions to an \(n\)-dimensional Stefan problem with nonlinear boundary conditions. Zbl 0459.35090Cannon, J. R.; DiBenedetto, Emmanuele 17 1980 Local behavior of solutions of an elliptic-parabolic equation. Zbl 0627.35052DiBenedetto, Emmanuele; Gariepy, Ronald 16 1987 Harnack type estimates and Hölder continuity for non-negative solutions to certain sub-critically singular parabolic partial differential equations. Zbl 1186.35022DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 15 2010 Remarks on local boundedness and local holder continuity of local weak solutions to anisotropic \(p\)-Laplacian type equations. Zbl 1386.35113Dibenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 15 2016 Real analysis. 2nd edition. Zbl 1353.26001DiBenedetto, Emmanuele 13 2016 Harnack estimates in certain function classes. Zbl 0698.35023DiBenedetto, Emmanuele 13 1989 Conduction-convection problems with change of phase. Zbl 0593.35085DiBenedetto, Emmanuele; Friedman, Avner 13 1986 A pseudo-parabolic variational inequality and Stefan problem. Zbl 0497.35050DiBenedetto, E.; Showalter, R. E. 10 1982 The free boundary of a flow in a porous body heated from its boundary. Zbl 0621.76101DiBenedetto, Emmanuele; Elliott, Charles M.; Friedman, Avner 10 1986 Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations. Zbl 1170.35054DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 9 2008 Regularity results for the porous media equation. Zbl 0428.76074DiBenedetto, E. 9 1979 The steady state Stefan problem with convection. Zbl 0436.76056Cannon, J. R.; DiBenedetto, Emmanuele; Knightly, George H. 8 1980 Homogenization and concentrated capacity for the heat equation with non-linear variational data in reticular almost disconnected structures and applications to visual transduction. Zbl 1098.35013Andreucci, D.; Bisegna, P.; DiBenedetto, E. 8 2003 Alternative forms of the Harnack inequality for non-negative solutions to certain degenerate and singular parabolic equations. Zbl 1191.35080DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 7 2009 The bidimensional Stefan problem with convection: The time dependent case. Zbl 0547.35117Cannon, J. R.; DiBenedetto, E.; Knightly, G. H. 7 1983 Logarithmically singular parabolic equations as limits of the porous medium equation. Zbl 1246.35112DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian 6 2012 A new approach to the expansion of positivity set of non-negative solutions to certain singular parabolic partial differential equations. Zbl 1204.35107DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 6 2010 Some properties of De Giorgi classes. Zbl 1432.35066DiBenedetto, Emmanuele; Gianazza, Ugo 6 2016 Liouville-type theorems for certain degenerate and singular parabolic equations. (Théorémes de type Liouville pour quelques équations paraboliques singuliéres dégénérées.) Zbl 1198.35043DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 5 2010 A free-boundary problem for a degenerate parabolic system. Zbl 0476.35083DiBenedetto, Emmanuele; Showalter, R. E. 5 1983 On the local behavior of non-negative solutions to a logarithmically singular equation. Zbl 1255.35025DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian 5 2012 A Wiener-type condition for boundary continuity of quasi-minima of variational integrals. Zbl 1347.49053DiBenedetto, Emmanuele; Gianazza, Ugo 5 2016 Intrinsic Harnack estimates for nonnegative local solutions of degenerate parabolic equations. Zbl 1112.35112DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 4 2006 Continuity of the saturation in the flow of two immiscible fluids in a porous medium. Zbl 1246.35110DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 4 2010 On the existence of solutions of boundary value problems in fast chemical reactions. Zbl 0395.35046Cannon, John R.; DiBenedetto, Emmanuele 4 1978 Regularity properties of the solution of an \(n\)-dimensional two-phase Stefan problem. Zbl 0458.35098DiBenedetto, E. 4 1980 Three-dimensional conduction-convection problems with change of phase. Zbl 0802.76084DiBenedetto, Emmanuele; O’Leary, M. 4 1993 Homogenization and concentration of capacity in the rod outer segment with incisures. Zbl 1090.35026Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele 4 2006 Classical mechanics. Theory and mathematical modeling. Zbl 1208.70001DiBenedetto, Emmanuele 4 2011 On the Harnack inequality for non-negative solutions of singular parabolic equations. Zbl 0828.35066Chen, Yazhe; DiBenedetto, E. 3 1993 Stefan problems with nonlinear boundary conditions: the polygonal method. Zbl 0398.35037Borgioli, Giovanni; DiBenedetto, Emmanuele; Ughi, Maura 3 1978 Homogenization and concentrated capacity in reticular almost disconnected structures. Zbl 1003.35029Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele 3 2002 Flow of oil and water through porous media. Zbl 0588.76166Alt, H. W.; DiBenedetto, E. 3 1984 A necessary and sufficient condition for the continuity of local minima of parabolic variational integrals with linear growth. Zbl 1366.35099DiBenedetto, Emmanuele; Gianazza, Ugo; Klaus, Colin 3 2017 Degenerate and singular parabolic equations. Zbl 0812.35069DiBenedetto, Emmanuele 2 1993 Some mathematical problems in visual transduction. Zbl 1081.92012Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele 2 2005 Continuity of weak solutions to certain singular parabolic equations. Zbl 0535.35046DiBenedetto, Emmanuele 2 1982 Existence for a problem in ground freezing. Zbl 0592.76131DiBenedetto, E.; Elliott, C. M. 2 1985 Intrinsic Harnack inequalities for quasi-linear singular parabolic partial differential equation. Zbl 1139.35370DiBenedetto, Emmanuele; Giannazza, Ugo; Vespri, Vincenzo 1 2007 A note on boundary regularity for certain degenerate parabolic equations. Zbl 0792.35102DiBenedetto, Emmanuele; Manfredi, J.; Vespri, V. 1 1992 Weak solutions of the type of nonstationary filtration. Zbl 0794.35020Andreucci, D.; DiBenedetto, Emmanuele 1 1992 An algorithm for the one-phase Stefan problem. Zbl 0476.35084DiBenedetto, E.; Spigler, R. 1 1983 Singular semilinear elliptic equations in \(L^1(\mathbb{R}^N)\). Zbl 0922.35061DiBenedetto, E.; Diller, D. J. 1 1999 Interior and boundary regularity for a class of free boundary problems. Zbl 0516.35081DiBenedetto, E. 1 1983 On a free boundary problem related to an irreversible process. Zbl 0615.35088DiBenedetto, Emmanuele; Fasano, Antonio; Primicerio, Mario 1 1985 Two remarks on the local behavior of solutions to logarithmically singular diffusion equations and its porous-medium type approximations. Zbl 1322.35081DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian 1 2014 A necessary and sufficient condition for the continuity of local minima of parabolic variational integrals with linear growth. Zbl 1366.35099DiBenedetto, Emmanuele; Gianazza, Ugo; Klaus, Colin 3 2017 Remarks on local boundedness and local holder continuity of local weak solutions to anisotropic \(p\)-Laplacian type equations. Zbl 1386.35113Dibenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 15 2016 Real analysis. 2nd edition. Zbl 1353.26001DiBenedetto, Emmanuele 13 2016 Some properties of De Giorgi classes. Zbl 1432.35066DiBenedetto, Emmanuele; Gianazza, Ugo 6 2016 A Wiener-type condition for boundary continuity of quasi-minima of variational integrals. Zbl 1347.49053DiBenedetto, Emmanuele; Gianazza, Ugo 5 2016 Two remarks on the local behavior of solutions to logarithmically singular diffusion equations and its porous-medium type approximations. Zbl 1322.35081DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian 1 2014 Logarithmically singular parabolic equations as limits of the porous medium equation. Zbl 1246.35112DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian 6 2012 On the local behavior of non-negative solutions to a logarithmically singular equation. Zbl 1255.35025DiBenedetto, Emmanuele; Gianazza, Ugo; Liao, Naian 5 2012 Harnack’s inequality for degenerate and singular parabolic equations. Zbl 1237.35004DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 99 2011 Classical mechanics. Theory and mathematical modeling. Zbl 1208.70001DiBenedetto, Emmanuele 4 2011 Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations. Zbl 1206.35053DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 38 2010 Partial differential equations. 2nd ed. Zbl 1188.35001DiBenedetto, Emmanuele 25 2010 Harnack type estimates and Hölder continuity for non-negative solutions to certain sub-critically singular parabolic partial differential equations. Zbl 1186.35022DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 15 2010 A new approach to the expansion of positivity set of non-negative solutions to certain singular parabolic partial differential equations. Zbl 1204.35107DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 6 2010 Liouville-type theorems for certain degenerate and singular parabolic equations. (Théorémes de type Liouville pour quelques équations paraboliques singuliéres dégénérées.) Zbl 1198.35043DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 5 2010 Continuity of the saturation in the flow of two immiscible fluids in a porous medium. Zbl 1246.35110DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 4 2010 Alternative forms of the Harnack inequality for non-negative solutions to certain degenerate and singular parabolic equations. Zbl 1191.35080DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 7 2009 Harnack estimates for quasi-linear degenerate parabolic differential equations. Zbl 1221.35213DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 82 2008 Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations. Zbl 1170.35054DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 9 2008 Intrinsic Harnack inequalities for quasi-linear singular parabolic partial differential equation. Zbl 1139.35370DiBenedetto, Emmanuele; Giannazza, Ugo; Vespri, Vincenzo 1 2007 Local clustering of the non-zero set of functions in \(W^{1,1} (E)\). Zbl 1223.46034DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 20 2006 Intrinsic Harnack estimates for nonnegative local solutions of degenerate parabolic equations. Zbl 1112.35112DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo 4 2006 Homogenization and concentration of capacity in the rod outer segment with incisures. Zbl 1090.35026Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele 4 2006 Some mathematical problems in visual transduction. Zbl 1081.92012Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele 2 2005 Current issues on singular and degenerate evolution equations. Zbl 1082.35002DiBenedetto, Emmanuele; Urbano, José Miguel; Vespri, Vincenzo 48 2004 Homogenization and concentrated capacity for the heat equation with non-linear variational data in reticular almost disconnected structures and applications to visual transduction. Zbl 1098.35013Andreucci, D.; Bisegna, P.; DiBenedetto, E. 8 2003 Real analysis. Zbl 1012.26001DiBenedetto, Emmanuele 57 2002 Homogenization and concentrated capacity in reticular almost disconnected structures. Zbl 1003.35029Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele 3 2002 Stability of entropy solutions to the Cauchy problem for a class of nonlinear hyperbolic-parabolic equations. Zbl 1027.35080Chen, Gui-Qiang; DiBenedetto, Emmanuele 21 2001 Singular semilinear elliptic equations in \(L^1(\mathbb{R}^N)\). Zbl 0922.35061DiBenedetto, E.; Diller, D. J. 1 1999 Determining 2-dimensional cracks in 3-dimensional bodies: Uniqueness and stability. Zbl 0879.35040Alessandrini, G.; DiBenedetto, E. 19 1997 About a singular parabolic equation arising in thin film dynamics and in the Ricci flow for complete \(\mathbb{R}^ 2\). Zbl 0846.35070DiBenedetto, Emmanuele; Diller, David J. 19 1996 Some a priori estimates for a singular evolution equation arising in thin-film dynamics. Zbl 0854.35014Davis, Stephen H.; DiBenedetto, Emmanuele; Diller, David J. 19 1996 Partial differential equations. Zbl 0818.35001DiBenedetto, Emmanuele 36 1995 On the singular equation \(\beta (u)_ t=\Delta u\). Zbl 0849.35060DiBenedetto, E.; Vespri, V. 25 1995 Degenerate parabolic equations. Zbl 0794.35090DiBenedetto, Emmanuele 846 1993 On the higher integrability of the gradient of weak solutions of certain degenerate elliptic systems. Zbl 0805.35037DiBenedetto, Emmanuele; Manfredi, J. 157 1993 Three-dimensional conduction-convection problems with change of phase. Zbl 0802.76084DiBenedetto, Emmanuele; O’Leary, M. 4 1993 On the Harnack inequality for non-negative solutions of singular parabolic equations. Zbl 0828.35066Chen, Yazhe; DiBenedetto, E. 3 1993 Degenerate and singular parabolic equations. Zbl 0812.35069DiBenedetto, Emmanuele 2 1993 Hölder estimates of solutions of singular parabolic equations with measurable coefficients. Zbl 0836.35029Chen, Yazhe; DiBenedetto, E. 30 1992 Harnack estimates and extinction profile for weak solutions of certain singular parabolic equations. Zbl 0772.35006DiBenedetto, Emmanuele; Kwong, Y. C. 21 1992 A note on boundary regularity for certain degenerate parabolic equations. Zbl 0792.35102DiBenedetto, Emmanuele; Manfredi, J.; Vespri, V. 1 1992 Weak solutions of the type of nonstationary filtration. Zbl 0794.35020Andreucci, D.; DiBenedetto, Emmanuele 1 1992 On the Cauchy problem and initial traces for a class of evolution equations with strongly nonlinear sources. Zbl 0762.35052Andreucci, D.; DiBenedetto, Emmanuele 54 1991 Local space-analyticity of solutions of certain singular parabolic equations. Zbl 0784.35055DiBenedetto, Emmanuele; Kwong, Y.; Vespri, V. 24 1991 Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\). Zbl 0726.35066DiBenedetto, Emmanuele; Herrero, M. A. 55 1990 A new approach to initial traces in nonlinear filtration. Zbl 0723.35014Andreucci, D.; DiBenedetto, Emmanuele 18 1990 On the Cauchy problem and initial traces for a degenerate parabolic equation. Zbl 0691.35047DiBenedetto, Emmanuele; Herrero, M. A. 86 1989 Boundary estimates for solutions of nonlinear degenerate parabolic systems. Zbl 0661.35052Chan, Yazhe; DiBenedetto, Emmanuele 22 1989 Harnack estimates in certain function classes. Zbl 0698.35023DiBenedetto, Emmanuele 13 1989 On the local behavior of solutions of singular parabolic equations. Zbl 0673.35047Chen, Ya-Zhe; DiBenedetto, Emmanuele 34 1988 Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations. Zbl 0708.35017DiBenedetto, Emmanuele 31 1988 Local behavior of solutions of an elliptic-parabolic equation. Zbl 0627.35052DiBenedetto, Emmanuele; Gariepy, Ronald 16 1987 On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients. Zbl 0635.35052DiBenedetto, Emmanuele 54 1986 Periodic behaviour for the evolutionary dam problem and related free boundary problems. Zbl 0624.35084DiBenedetto, Emmanuele; Friedman, Avner 27 1986 A boundary modulus of continuity for a class of singular parabolic equations. Zbl 0606.35044DiBenedetto, Emmanuele 25 1986 Bubble growth in porous media. Zbl 0667.35074DiBenedetto, Emmanuele; Friedman, Avner 18 1986 Conduction-convection problems with change of phase. Zbl 0593.35085DiBenedetto, Emmanuele; Friedman, Avner 13 1986 The free boundary of a flow in a porous body heated from its boundary. Zbl 0621.76101DiBenedetto, Emmanuele; Elliott, Charles M.; Friedman, Avner 10 1986 Hölder estimates for non-linear degenerate parabolic systems. Zbl 0549.35061DiBenedetto, Emmanuele; Friedman, Avner 174 1985 Nonsteady flow of water and oil through inhomogeneous porous media. Zbl 0608.76082Alt, H. W.; DiBenedetto, Emmanuele 46 1985 Addendum to “Hölder estimates for nonlinear degenerate parabolic systems”. Zbl 0595.35065DiBenedetto, Emmanuelle; Friedman, Avner 33 1985 Existence for a problem in ground freezing. Zbl 0592.76131DiBenedetto, E.; Elliott, C. M. 2 1985 On a free boundary problem related to an irreversible process. Zbl 0615.35088DiBenedetto, Emmanuele; Fasano, Antonio; Primicerio, Mario 1 1985 Regularity of solutions of nonlinear degenerate parabolic systems. Zbl 0527.35038DiBenedetto, Emmanuele; Friedman, Avner 76 1984 Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012DiBenedetto, E.; Trudinger, Neil S. 65 1984 The ill-posed Hele-Shaw model and the Stefan problem for supercooled water. Zbl 0621.35102DiBenedetto, Emmanuele; Friedman, Avner 36 1984 An interface tracking algorithm for the porous medium equation. Zbl 0564.76090DiBenedetto, E.; Hoff, David 18 1984 Flow of oil and water through porous media. Zbl 0588.76166Alt, H. W.; DiBenedetto, E. 3 1984 \(C^{1+\alpha}\) local regularity of weak solutions of degenerate elliptic equations. Zbl 0539.35027DiBenedetto, E. 564 1983 Continuity of weak solutions to a general porous medium equation. Zbl 0526.35042DiBenedetto, Emmanuele 143 1983 The bidimensional Stefan problem with convection: The time dependent case. Zbl 0547.35117Cannon, J. R.; DiBenedetto, E.; Knightly, G. H. 7 1983 A free-boundary problem for a degenerate parabolic system. Zbl 0476.35083DiBenedetto, Emmanuele; Showalter, R. E. 5 1983 An algorithm for the one-phase Stefan problem. Zbl 0476.35084DiBenedetto, E.; Spigler, R. 1 1983 Interior and boundary regularity for a class of free boundary problems. Zbl 0516.35081DiBenedetto, E. 1 1983 Continuity of weak solutions to certain singular parabolic equations. Zbl 0503.35018DiBenedetto, Emmanuele 58 1982 A pseudo-parabolic variational inequality and Stefan problem. Zbl 0497.35050DiBenedetto, E.; Showalter, R. E. 10 1982 Continuity of weak solutions to certain singular parabolic equations. Zbl 0535.35046DiBenedetto, Emmanuele 2 1982 Implicit degenerate evolution equations and applications. Zbl 0477.47037DiBenedetto, Emmanuele; Showalter, R. E. 75 1981 On the maximum principle for pseudoparabolic equations. Zbl 0495.35047DiBenedetto, Emmanuele; Pierre, Michel 37 1981 The initial value problem for the Boussinesq equations with data in \(L^p\). Zbl 0429.35059Cannon, J. R.; DiBenedetto, Emmanuele 33 1980 On the existence of weak-solutions to an \(n\)-dimensional Stefan problem with nonlinear boundary conditions. Zbl 0459.35090Cannon, J. R.; DiBenedetto, Emmanuele 17 1980 The steady state Stefan problem with convection. Zbl 0436.76056Cannon, J. R.; DiBenedetto, Emmanuele; Knightly, George H. 8 1980 Regularity properties of the solution of an \(n\)-dimensional two-phase Stefan problem. Zbl 0458.35098DiBenedetto, E. 4 1980 Regularity results for the porous media equation. Zbl 0428.76074DiBenedetto, E. 9 1979 On the existence of solutions of boundary value problems in fast chemical reactions. Zbl 0395.35046Cannon, John R.; DiBenedetto, Emmanuele 4 1978 Stefan problems with nonlinear boundary conditions: the polygonal method. Zbl 0398.35037Borgioli, Giovanni; DiBenedetto, Emmanuele; Ughi, Maura 3 1978 all cited Publications top 5 cited Publications all top 5 Cited by 2,219 Authors 44 Mingione, Giuseppe 41 Vazquez, Juan Luis 41 Vespri, Vincenzo Riccardo 34 DiBenedetto, Emmanuele 34 Kuusi, Tuomo 30 Zhan, Huashui 29 Bögelein, Verena 29 Gianazza, Ugo Pietro 29 Sciunzi, Berardino 29 Yao, Fengping 28 Byun, Sun-Sig 24 Duzaar, Frank 24 Zhou, Shulin 23 Parviainen, Mikko 22 Mu, Chunlai 21 Kinnunen, Juha 18 Andreucci, Daniele 18 Ok, Jihoon 18 Zhang, Chao 17 Marcellini, Paolo 17 Scheven, Christoph 17 Schwarzacher, Sebastian 17 Urbano, José Miguel 15 Gao, Wenjie 15 Liao, Naian 15 Lindqvist, Peter 15 Yin, Jingxue 15 Zheng, Shenzhou 14 Baroni, Paolo 14 Bonforte, Matteo 14 Ivanov, Aleksandr Vasil’evich 14 Tedeev, Anatoliĭ Fedorovich 13 Grillo, Gabriele 13 Peral Alonso, Ireneo 13 Shang, Haifeng 13 Xu, Xiangsheng 12 Bertsch, Michiel 12 Diening, Lars 12 Montoro, Luigi 12 Surnachëv, Mikhaĭl Dmitrievich 12 Takáč, Peter 12 Valdinoci, Enrico 11 Farina, Alberto 11 Hoang, Luan Thach 11 Iagar, Razvan Gabriel 11 Kieu, Thinh Tri 10 Choe, Hi Jun 10 Henriques, Eurica 10 Kamin, Shoshana 10 Phan, Tuoc Van 10 Wang, Lihe 9 Abdulla, Ugur G. 9 Brasco, Lorenzo 9 Chen, Caisheng 9 Drábek, Pavel 9 Hilhorst, Danielle 9 Lieberman, Gary M. 9 Lukkari, Teemu 9 Nyström, Kaj 9 Porzio, Maria Michaela 9 Skrypnik, Igor Igorievich 9 Zhao, Junning 9 Zhou, Jun 8 Adimurthi, Karthik 8 Akagi, Goro 8 Alves, Claudianor Oliveira 8 Aramaki, Junichi 8 Auchmuty, Giles 8 Bhattacharya, Tilak 8 Cianchi, Andrea 8 Damascelli, Lucio 8 Díaz Díaz, Jesús Ildefonso 8 Figueiredo, Giovany Malcher 8 Gilardi, Gianni 8 Hulshof, Josephus 8 Ishige, Kazuhiro 8 Kim, Sunghoon 8 Lee, Ki-Ahm 8 Lindgren, Erik 8 Muratori, Matteo 8 Quirós Gracián, Fernando 8 Showalter, Ralph E. 8 Singer, Thomas 8 Wang, Mingxin 7 Avelin, Benny 7 Carl, Siegfried 7 Giacomoni, Jacques 7 Guo, Bin 7 Hui, Kin Ming 7 Korte, Riikka 7 Lewis, John L. 7 Mazón Ruiz, José M. 7 Mimura, Masayasu 7 Misawa, Masashi 7 Mohan, Manil Thankamani 7 Pang, Peter Y. H. 7 Perthame, Benoît 7 Porretta, Alessio 7 Rodrigues, José Francisco 7 Stefanelli, Ulisse ...and 2,119 more Authors all top 5 Cited in 320 Serials 210 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 196 Journal of Differential Equations 177 Journal of Mathematical Analysis and Applications 93 Calculus of Variations and Partial Differential Equations 60 Nonlinear Analysis. Theory, Methods & Applications 49 Archive for Rational Mechanics and Analysis 48 Annali di Matematica Pura ed Applicata. Serie Quarta 44 Journal of Functional Analysis 44 Communications in Partial Differential Equations 40 Manuscripta Mathematica 40 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 37 Journal de Mathématiques Pures et Appliquées. Neuvième Série 36 NoDEA. 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Series B 8 Journal of Dynamics and Differential Equations 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Advanced Nonlinear Studies 8 Mediterranean Journal of Mathematics 8 Complex Variables and Elliptic Equations 8 Advances in Calculus of Variations 8 Journal of Function Spaces 7 Journal of Computational and Applied Mathematics 7 Mathematische Nachrichten 7 Monatshefte für Mathematik 7 Rendiconti del Seminario Matematico della Università di Padova 7 Applications of Mathematics 7 Abstract and Applied Analysis 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Mathematical Notes 6 SIAM Journal on Numerical Analysis 6 International Journal of Mathematics 6 Japan Journal of Industrial and Applied Mathematics 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. 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Series A 4 Ricerche di Matematica 4 Numerical Methods for Partial Differential Equations 4 Journal of Scientific Computing 4 Forum Mathematicum 4 Expositiones Mathematicae ...and 220 more Serials all top 5 Cited in 45 Fields 2,251 Partial differential equations (35-XX) 312 Fluid mechanics (76-XX) 178 Calculus of variations and optimal control; optimization (49-XX) 102 Numerical analysis (65-XX) 93 Operator theory (47-XX) 91 Functional analysis (46-XX) 85 Global analysis, analysis on manifolds (58-XX) 78 Biology and other natural sciences (92-XX) 66 Potential theory (31-XX) 64 Classical thermodynamics, heat transfer (80-XX) 46 Probability theory and stochastic processes (60-XX) 43 Differential geometry (53-XX) 41 Ordinary differential equations (34-XX) 37 Mechanics of deformable solids (74-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Real functions (26-XX) 19 Integral equations (45-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Measure and integration (28-XX) 15 Optics, electromagnetic theory (78-XX) 15 Geophysics (86-XX) 14 Functions of a complex variable (30-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Systems theory; control (93-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Information and communication theory, circuits (94-XX) 6 Difference and functional equations (39-XX) 6 Operations research, mathematical programming (90-XX) 5 History and biography (01-XX) 5 Approximations and expansions (41-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year