Edit Profile (opens in new tab) Marcellini, Paolo Compute Distance To: Compute Author ID: marcellini.paolo Published as: Marcellini, Paolo; Marcellini, P.; Marcellini, P more...less External Links: MGP · ORCID · Wikidata · GND · IdRef Documents Indexed: 112 Publications since 1973, including 2 Books 3 Contributions as Editor Co-Authors: 37 Co-Authors with 81 Joint Publications 730 Co-Co-Authors all top 5 Co-Authors 34 single-authored 23 Dacorogna, Bernard 15 Mascolo, Elvira 10 Bögelein, Verena 10 Duzaar, Frank 9 Paolini, Emanuele 9 Sbordone, Carlo 7 Cupini, Giovanni 7 Fusco, Nicola 5 Fonseca, Irene 5 Miller, Keith D. 4 Eleuteri, Michela 4 Scheven, Christoph 3 Boccardo, Lucio 2 Düzgün, Fatma Gamze 2 Focardi, Matteo 2 Focardi, Stefano 2 Gori, Michele 2 Signoriello, Stefano 2 Vespri, Vincenzo Riccardo 1 Amar, Micol 1 Ambrosio, Luigi 1 Ball, John MacLeod 1 Botteron, Bernard 1 De Cicco, Virginia 1 Di Marco, Tommaso 1 Eleuteri, Mchela 1 Gallouët, Thierry 1 Leone, Chiara 1 Maggi, Francesco 1 Müller, Stefan 1 Ornelas, António 1 Papi, Gloria 1 Perrotta, Stefania 1 Šverák, Vladimír 1 Talenti, Giorgio G. 1 Tanteri, Chiara 1 Tartar, Luc C. 1 Verde, Anna 1 Vesentini, Edoardo all top 5 Serials 7 Journal of Differential Equations 5 Archive for Rational Mechanics and Analysis 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Ricerche di Matematica 3 Differential and Integral Equations 3 Comptes Rendus de l’Académie des Sciences. Série I 2 Journal of Mathematical Analysis and Applications 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Functional Analysis 2 Journal of Optimization Theory and Applications 2 Manuscripta Mathematica 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Bollettino della Unione Matemàtica Italiana. Serie VII. A 2 Calculus of Variations and Partial Differential Equations 2 Journal of Convex Analysis 2 Advances in Differential Equations 2 Bollettino della Unione Matematica Italiana. Series IV 2 Lecture Notes in Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Calculus of Variations 1 Applicable Analysis 1 Journal of Mathematical Biology 1 Acta Mathematica 1 Applied Mathematics and Optimization 1 Portugaliae Mathematica 1 Transactions of the American Mathematical Society 1 Rendiconti del Seminario Matematico 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 The Journal of Geometric Analysis 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Discrete and Continuous Dynamical Systems. Series B 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Rendiconti di Matematica, VI. Serie 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Lecture Notes in Pure and Applied Mathematics 1 Unitext 1 SIAM Journal on Imaging Sciences 1 Rivista di Matematica della Università di Parma. New Series 1 Nonlinear Analysis. Theory, Methods & Applications 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 75 Partial differential equations (35-XX) 70 Calculus of variations and optimal control; optimization (49-XX) 8 Real functions (26-XX) 6 Mechanics of deformable solids (74-XX) 5 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 4 Ordinary differential equations (34-XX) 4 General topology (54-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 97 Publications have been cited 2,827 times in 1,281 Documents Cited by ▼ Year ▼ Regularity and existence of solutions of elliptic equations with p,q- growth conditions. Zbl 0724.35043Marcellini, Paolo 381 1991 Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032Marcellini, Paolo 295 1989 Everywhere regularity for a class of elliptic systems without growth conditions. Zbl 0922.35031Marcellini, Paolo 124 1996 Regularity for elliptic equations with general growth conditions. Zbl 0812.35042Marcellini, Paolo 114 1993 On the definition and the lower semicontinuity of certain quasiconvex integrals. Zbl 0609.49009Marcellini, Paolo 106 1986 Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals. Zbl 0573.49010Marcellini, Paolo 104 1985 Implicit partial differential equations. Zbl 0938.35002Dacorogna, Bernard; Marcellini, Paolo 93 1999 Nonlinear elliptic systems with general growth. Zbl 1330.35131Marcellini, Paolo; Papi, Gloria 76 2006 Periodic solutions and homogenization of non linear variational problems. Zbl 0395.49007Marcellini, Paolo 73 1978 General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027Dacorogna, Bernard; Marcellini, Paolo 64 1997 Lipschitz estimates for systems with ellipticity conditions at infinity. Zbl 1354.35035Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 64 2016 Parabolic systems with \({p,q}\)-growth: a variational approach. Zbl 1292.35146Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 60 2013 Existence of evolutionary variational solutions via the calculus of variations. Zbl 1288.35007Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 56 2014 Sulla convergenza delle soluzioni di disequazioni variazionali. Zbl 0333.35030Boccardo, Lucio; Marcellini, Paolo 54 1976 Semicontinuity problems in the calculus of variations. Zbl 0537.49002Marcellini, Paolo; Sbordone, Carlo 49 1980 L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo 46 1990 Regularity for some scalar variational problems under general growth conditions. Zbl 0901.49030Marcellini, P. 45 1996 Lipschitz continuity for energy integrals with variable exponents. Zbl 1338.35169Eleuteri, Mchela; Marcellini, Paolo; Mascolo, Elvira 44 2016 An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 43 2002 Anisotropic equations in \(L^ 1\). Zbl 0838.35048Boccardo, L.; Gallouet, T.; Marcellini, P. 40 1996 Parabolic equations with \(p,q\)-growth. Zbl 1288.35302Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 34 2013 Local boundedness of minimizers with limit growth conditions. Zbl 1325.49043Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 34 2015 Regularity under sharp anisotropic general growth conditions. Zbl 1158.49040Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 33 2009 Local boundedness of solutions to quasilinear elliptic systems. Zbl 1235.35129Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 29 2012 Regularity of minimizers under limit growth conditions. Zbl 1358.49032Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 28 2017 Homogenization of non-uniformly elliptic operators. Zbl 0406.35014Marcellini, Paolo; Sbordone, Carlo 27 1978 Regularity for scalar integrals without structure conditions. Zbl 1445.35159Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 26 2020 A time dependent variational approach to image restoration. Zbl 1380.94012Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 26 2015 Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 25 2014 A variational approach to parabolic equations under general and \(p,q\)-growth conditions. Zbl 1436.35235Marcellini, Paolo 24 2020 Doubly nonlinear equations of porous medium type. Zbl 1394.35349Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 23 2018 Non convex integrals of the calculus of variations. Zbl 0735.49002Marcellini, Paolo 22 1990 Quasiconvex quadratic forms in two dimensions. Zbl 0567.49007Marcellini, Paolo 22 1984 Alcune osservazioni sull’esistenza del minimo di integrali del calcolo delle variazioni senza ipotesi di convessita. Zbl 0454.49015Marcellini, Paolo 21 1980 Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011Fonseca, Irene; Marcellini, Paolo 21 1997 Regularity under general and \(p,q\)-growth conditions. Zbl 1439.35102Marcellini, Paolo 21 2020 A general approach to the existence of minimizers of one-dimensional non- coercive integrals of the calculus of variations. Zbl 0729.49002Botteron, Bernard; Marcellini, Paolo 20 1991 Growth conditions and regularity for weak solutions to nonlinear elliptic pdes. Zbl 07358812Marcellini, Paolo 20 2021 On the existence of minima of multiple integrals of the calculus of variations. Zbl 0516.49011Marcellini, Paolo; Sbordone, Carlo 19 1983 Existence of minimizers for non-quasiconvex integrals. Zbl 0837.49002Dacorogna, Bernard; Marcellini, Paolo 19 1995 Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants. (Semicontinuity for polyconvex integrands without continuity of determinants). Zbl 0723.49007Dacorogna, Bernard; Marcellini, Paolo 19 1990 Nonuniformly elliptic energy integrals with \(p, q\)-growth. Zbl 1403.49033Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 17 2018 An approach to the asymptotic behaviour of elliptic-parabolic operators. Zbl 0319.35013Marcellini, Paolo; Sbordone, Carlo 16 1977 Existence of minimizers for some non convex one-dimensional integrals. Zbl 0912.49015Fusco, N.; Marcellini, P.; Ornelas, A. 15 1998 Dualita e perturbazione di funzionali integrali. Zbl 0393.49007Marcellini, P.; Sbordone, C. 15 1977 A variational approach to doubly nonlinear equations. Zbl 1407.35123Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 14 2018 Space expansion for a solution of an anisotropic \(p\)-Laplacian equation by using a parabolic approach. Zbl 1327.35113Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo 14 2014 Nonlocal diffusion equations. Zbl 1332.35195Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano 14 2015 Local boundedness of solutions to some anisotropic elliptic systems. Zbl 1294.35016Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 13 2013 Parabolic equations and the bounded slope condition. Zbl 1372.35161Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano 13 2017 Origami and partial differential equations. Zbl 1328.00022Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 13 2010 Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042Dacorogna, B.; Marcellini, P.; Paolini, E. 12 2008 A-priori gradient bound for elliptic systems under either slow or fast growth conditions. Zbl 1442.35049Di Marco, Tommaso; Marcellini, Paolo 12 2020 Su una convergenza di funzioni convesse. Zbl 0282.47014Marcellini, Paolo 12 1973 Existence theorems for Hamilton-Jacobi equations in the scalar and the vectorial cases. (Théorèmes d’existence dans les cas scalaire et vectoriel pour les équations de Hamilton-Jacobi.) Zbl 0846.35028Dacorogna, Bernard; Marcellini, Paolo 11 1996 Elliptic versus parabolic regularization for the equation of prescribed mean curvature. Zbl 0890.35046Marcellini, Paolo; Miller, Keith 10 1997 On a volume-constrained variational problem. Zbl 0945.49005Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc 10 1999 Cauchy-Dirichlet problem for first order nonlinear systems. (Sur le problème de Cauchy-Dirichlet pour les systèmes d’ équations non linéaires du premier ordre.) Zbl 0860.35020Dacorogna, Bernard; Marcellini, Paolo 9 1996 An explicit solution to a system of implicit differential equations. Zbl 1141.35014Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 9 2008 Bounds for the third membrane eigenvalue. Zbl 0421.35066Marcellini, Paolo 9 1980 The stored-energy for some discontinuous deformations in nonlinear elasticity. Zbl 0679.73006Marcellini, Paolo 9 1989 Local Lipschitz continuity of minimizers with mild assumptions on the \(x\)-dependence. Zbl 1411.49022Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 8 2019 Asymptotic growth for the parabolic equation of prescribed mean curvature. Zbl 0545.35044Marcellini, Paolo; Miller, Keith 8 1984 On the total variation of the Jacobian. Zbl 1041.49016Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 8 2004 An alternative approach to the Hölder continuity of solutions to some elliptic equations. Zbl 1284.35198Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo 8 2014 On some sharp conditions for lower semicontinuity in \(L^1\). Zbl 1028.49012Gori, Michele; Maggi, Francesco; Marcellini, Paolo 7 2003 A counterexample in the vectorial calculus of variations. Zbl 0641.49007Dacorogna, Bernard; Marcellini, Paolo 7 1988 Un teorema di passaggio al limite per la somma di funzioni convesse. Zbl 0309.47033Marcellini, Paolo 7 1975 A relation between existence of minima for non convex integrals and uniqueness for non strictly convex integrals of the calculus of variations. Zbl 0505.49009Marcellini, Paolo 6 1983 Some remarks on uniqueness in the calculus of variations. Zbl 0521.49005Marcellini, P. 6 1983 Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 6 2005 Integral convexity and parabolic systems. Zbl 07190065Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 6 2020 An extension of the Serrin’s lower semicontinuity theorem. Zbl 1019.49021Gori, Michele; Marcellini, Paolo 6 2002 Convergence of second order linear elliptic operators. Zbl 0408.35028Marcellini, Paolo 6 1979 On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023Dacorogna, Bernard; Marcellini, Paolo 5 1999 Sur quelques questions de G-convergence et d’homogeneisation non linéaire. Zbl 0353.49015Marcellini, Paolo; Sbordone, Carlo 5 1977 On the \(n\)-dimensional Dirichlet problem for isometric maps. Zbl 1160.35374Dacorogna, B.; Marcellini, P.; Paolini, E. 5 2008 Functions with orthogonal Hessian. Zbl 1240.35073Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 4 2010 Weak lower semicontinuity for non coercive polyconvex integrals. Zbl 1146.49008Amar, Micol; De Cicco, Virginia; Marcellini, Paolo; Mascolo, Elvira 3 2008 Viscosity solutions, almost everywhere solutions and explicit formulas. Zbl 1069.34007Dacorogna, Bernard; Marcellini, Paolo 3 2004 Weak lower semicontinuity for polyconvex integrals in the limit case. Zbl 1297.49018Focardi, M.; Fusco, N.; Leone, C.; Marcellini, P.; Mascolo, E.; Verde, A. 3 2014 Implicit type equations with constraints. (Équations de type implicite avec contraintes.) Zbl 0960.35004Dacorogna, Bernard; Marcellini, Paolo; Tanteri, Chiara 2 2000 The two well problem for piecewise affine maps. Zbl 1258.35061Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 2 2012 Relaxation of non convex variational problems. Zbl 0408.49017Marcellini, Paolo; Sbordone, Carlo 2 1977 Regularization for prescribed mean curvature and for motion by mean curvature. Zbl 0837.35014Marcellini, Paolo; Miller, Keith 1 1995 Partial differential equations and applications. Collected papers in honor of Carlo Pucci on the occasion of his 70th birthday. Zbl 0834.00042 1 1996 Some problems of existence, uniqueness and regularity in the calculus of variations. Zbl 0851.49016Marcellini, Paolo 1 1996 Implicit second order partial differential equations. Zbl 1003.35043Dacorogna, Bernard; Marcellini, Paolo 1 1997 Dirichlet problem for nonlinear first order partial differential equations. Zbl 0882.35031Dacorogna, Bernard; Marcellini, Paolo 1 1997 Some recent developments in the 19th and 20th Hilbert problems. Zbl 0886.49014Marcellini, Paolo 1 1997 Attainment of minima and implicit partial differential equations. Zbl 0939.49013Dacorogna, Bernard; Marcellini, Paolo 1 1999 Origami and partial differential equations. Zbl 1247.00053Marcellini, Paolo; Paolini, Emanuele 1 2012 Boundary regularity for elliptic systems with \(p,q\)-growth. Zbl 1487.35147Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 1 2022 Local Lipschitz continuity for energy integrals with slow growth. Zbl 1491.35192Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira; Perrotta, Stefania 1 2022 Some problems of semicontinuity and of \(\Gamma\)-convergence for integrals of the calculus of variations. Zbl 0405.49021Marcellini, Paolo 1 1979 Some problems of \(\Gamma\)-convergence. Zbl 0552.49012Marcellini, Paolo 1 1983 The degenerate two well problem for piecewise affine maps. Zbl 1275.35081Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 1 2013 Boundary regularity for elliptic systems with \(p,q\)-growth. Zbl 1487.35147Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 1 2022 Local Lipschitz continuity for energy integrals with slow growth. Zbl 1491.35192Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira; Perrotta, Stefania 1 2022 Growth conditions and regularity for weak solutions to nonlinear elliptic pdes. Zbl 07358812Marcellini, Paolo 20 2021 Regularity for scalar integrals without structure conditions. Zbl 1445.35159Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 26 2020 A variational approach to parabolic equations under general and \(p,q\)-growth conditions. Zbl 1436.35235Marcellini, Paolo 24 2020 Regularity under general and \(p,q\)-growth conditions. Zbl 1439.35102Marcellini, Paolo 21 2020 A-priori gradient bound for elliptic systems under either slow or fast growth conditions. Zbl 1442.35049Di Marco, Tommaso; Marcellini, Paolo 12 2020 Integral convexity and parabolic systems. Zbl 07190065Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 6 2020 Local Lipschitz continuity of minimizers with mild assumptions on the \(x\)-dependence. Zbl 1411.49022Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 8 2019 Doubly nonlinear equations of porous medium type. Zbl 1394.35349Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 23 2018 Nonuniformly elliptic energy integrals with \(p, q\)-growth. Zbl 1403.49033Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 17 2018 A variational approach to doubly nonlinear equations. Zbl 1407.35123Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 14 2018 Regularity of minimizers under limit growth conditions. Zbl 1358.49032Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 28 2017 Parabolic equations and the bounded slope condition. Zbl 1372.35161Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano 13 2017 Lipschitz estimates for systems with ellipticity conditions at infinity. Zbl 1354.35035Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 64 2016 Lipschitz continuity for energy integrals with variable exponents. Zbl 1338.35169Eleuteri, Mchela; Marcellini, Paolo; Mascolo, Elvira 44 2016 Local boundedness of minimizers with limit growth conditions. Zbl 1325.49043Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 34 2015 A time dependent variational approach to image restoration. Zbl 1380.94012Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 26 2015 Nonlocal diffusion equations. Zbl 1332.35195Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano 14 2015 Existence of evolutionary variational solutions via the calculus of variations. Zbl 1288.35007Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 56 2014 Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 25 2014 Space expansion for a solution of an anisotropic \(p\)-Laplacian equation by using a parabolic approach. Zbl 1327.35113Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo 14 2014 An alternative approach to the Hölder continuity of solutions to some elliptic equations. Zbl 1284.35198Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo 8 2014 Weak lower semicontinuity for polyconvex integrals in the limit case. Zbl 1297.49018Focardi, M.; Fusco, N.; Leone, C.; Marcellini, P.; Mascolo, E.; Verde, A. 3 2014 Parabolic systems with \({p,q}\)-growth: a variational approach. Zbl 1292.35146Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 60 2013 Parabolic equations with \(p,q\)-growth. Zbl 1288.35302Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 34 2013 Local boundedness of solutions to some anisotropic elliptic systems. Zbl 1294.35016Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 13 2013 The degenerate two well problem for piecewise affine maps. Zbl 1275.35081Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 1 2013 Local boundedness of solutions to quasilinear elliptic systems. Zbl 1235.35129Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 29 2012 The two well problem for piecewise affine maps. Zbl 1258.35061Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 2 2012 Origami and partial differential equations. Zbl 1247.00053Marcellini, Paolo; Paolini, Emanuele 1 2012 Origami and partial differential equations. Zbl 1328.00022Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 13 2010 Functions with orthogonal Hessian. Zbl 1240.35073Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 4 2010 Regularity under sharp anisotropic general growth conditions. Zbl 1158.49040Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 33 2009 Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042Dacorogna, B.; Marcellini, P.; Paolini, E. 12 2008 An explicit solution to a system of implicit differential equations. Zbl 1141.35014Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 9 2008 On the \(n\)-dimensional Dirichlet problem for isometric maps. Zbl 1160.35374Dacorogna, B.; Marcellini, P.; Paolini, E. 5 2008 Weak lower semicontinuity for non coercive polyconvex integrals. Zbl 1146.49008Amar, Micol; De Cicco, Virginia; Marcellini, Paolo; Mascolo, Elvira 3 2008 Nonlinear elliptic systems with general growth. Zbl 1330.35131Marcellini, Paolo; Papi, Gloria 76 2006 Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 6 2005 On the total variation of the Jacobian. Zbl 1041.49016Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 8 2004 Viscosity solutions, almost everywhere solutions and explicit formulas. Zbl 1069.34007Dacorogna, Bernard; Marcellini, Paolo 3 2004 On some sharp conditions for lower semicontinuity in \(L^1\). Zbl 1028.49012Gori, Michele; Maggi, Francesco; Marcellini, Paolo 7 2003 An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 43 2002 An extension of the Serrin’s lower semicontinuity theorem. Zbl 1019.49021Gori, Michele; Marcellini, Paolo 6 2002 Implicit type equations with constraints. (Équations de type implicite avec contraintes.) Zbl 0960.35004Dacorogna, Bernard; Marcellini, Paolo; Tanteri, Chiara 2 2000 Implicit partial differential equations. Zbl 0938.35002Dacorogna, Bernard; Marcellini, Paolo 93 1999 On a volume-constrained variational problem. Zbl 0945.49005Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc 10 1999 On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023Dacorogna, Bernard; Marcellini, Paolo 5 1999 Attainment of minima and implicit partial differential equations. Zbl 0939.49013Dacorogna, Bernard; Marcellini, Paolo 1 1999 Existence of minimizers for some non convex one-dimensional integrals. Zbl 0912.49015Fusco, N.; Marcellini, P.; Ornelas, A. 15 1998 General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027Dacorogna, Bernard; Marcellini, Paolo 64 1997 Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011Fonseca, Irene; Marcellini, Paolo 21 1997 Elliptic versus parabolic regularization for the equation of prescribed mean curvature. Zbl 0890.35046Marcellini, Paolo; Miller, Keith 10 1997 Implicit second order partial differential equations. Zbl 1003.35043Dacorogna, Bernard; Marcellini, Paolo 1 1997 Dirichlet problem for nonlinear first order partial differential equations. Zbl 0882.35031Dacorogna, Bernard; Marcellini, Paolo 1 1997 Some recent developments in the 19th and 20th Hilbert problems. Zbl 0886.49014Marcellini, Paolo 1 1997 Everywhere regularity for a class of elliptic systems without growth conditions. Zbl 0922.35031Marcellini, Paolo 124 1996 Regularity for some scalar variational problems under general growth conditions. Zbl 0901.49030Marcellini, P. 45 1996 Anisotropic equations in \(L^ 1\). Zbl 0838.35048Boccardo, L.; Gallouet, T.; Marcellini, P. 40 1996 Existence theorems for Hamilton-Jacobi equations in the scalar and the vectorial cases. (Théorèmes d’existence dans les cas scalaire et vectoriel pour les équations de Hamilton-Jacobi.) Zbl 0846.35028Dacorogna, Bernard; Marcellini, Paolo 11 1996 Cauchy-Dirichlet problem for first order nonlinear systems. (Sur le problème de Cauchy-Dirichlet pour les systèmes d’ équations non linéaires du premier ordre.) Zbl 0860.35020Dacorogna, Bernard; Marcellini, Paolo 9 1996 Partial differential equations and applications. Collected papers in honor of Carlo Pucci on the occasion of his 70th birthday. Zbl 0834.00042 1 1996 Some problems of existence, uniqueness and regularity in the calculus of variations. Zbl 0851.49016Marcellini, Paolo 1 1996 Existence of minimizers for non-quasiconvex integrals. Zbl 0837.49002Dacorogna, Bernard; Marcellini, Paolo 19 1995 Regularization for prescribed mean curvature and for motion by mean curvature. Zbl 0837.35014Marcellini, Paolo; Miller, Keith 1 1995 Regularity for elliptic equations with general growth conditions. Zbl 0812.35042Marcellini, Paolo 114 1993 Regularity and existence of solutions of elliptic equations with p,q- growth conditions. Zbl 0724.35043Marcellini, Paolo 381 1991 A general approach to the existence of minimizers of one-dimensional non- coercive integrals of the calculus of variations. Zbl 0729.49002Botteron, Bernard; Marcellini, Paolo 20 1991 L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo 46 1990 Non convex integrals of the calculus of variations. Zbl 0735.49002Marcellini, Paolo 22 1990 Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants. (Semicontinuity for polyconvex integrands without continuity of determinants). Zbl 0723.49007Dacorogna, Bernard; Marcellini, Paolo 19 1990 Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032Marcellini, Paolo 295 1989 The stored-energy for some discontinuous deformations in nonlinear elasticity. Zbl 0679.73006Marcellini, Paolo 9 1989 A counterexample in the vectorial calculus of variations. Zbl 0641.49007Dacorogna, Bernard; Marcellini, Paolo 7 1988 On the definition and the lower semicontinuity of certain quasiconvex integrals. Zbl 0609.49009Marcellini, Paolo 106 1986 Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals. Zbl 0573.49010Marcellini, Paolo 104 1985 Quasiconvex quadratic forms in two dimensions. Zbl 0567.49007Marcellini, Paolo 22 1984 Asymptotic growth for the parabolic equation of prescribed mean curvature. Zbl 0545.35044Marcellini, Paolo; Miller, Keith 8 1984 On the existence of minima of multiple integrals of the calculus of variations. Zbl 0516.49011Marcellini, Paolo; Sbordone, Carlo 19 1983 A relation between existence of minima for non convex integrals and uniqueness for non strictly convex integrals of the calculus of variations. Zbl 0505.49009Marcellini, Paolo 6 1983 Some remarks on uniqueness in the calculus of variations. Zbl 0521.49005Marcellini, P. 6 1983 Some problems of \(\Gamma\)-convergence. Zbl 0552.49012Marcellini, Paolo 1 1983 Semicontinuity problems in the calculus of variations. Zbl 0537.49002Marcellini, Paolo; Sbordone, Carlo 49 1980 Alcune osservazioni sull’esistenza del minimo di integrali del calcolo delle variazioni senza ipotesi di convessita. Zbl 0454.49015Marcellini, Paolo 21 1980 Bounds for the third membrane eigenvalue. Zbl 0421.35066Marcellini, Paolo 9 1980 Convergence of second order linear elliptic operators. Zbl 0408.35028Marcellini, Paolo 6 1979 Some problems of semicontinuity and of \(\Gamma\)-convergence for integrals of the calculus of variations. Zbl 0405.49021Marcellini, Paolo 1 1979 Periodic solutions and homogenization of non linear variational problems. Zbl 0395.49007Marcellini, Paolo 73 1978 Homogenization of non-uniformly elliptic operators. Zbl 0406.35014Marcellini, Paolo; Sbordone, Carlo 27 1978 An approach to the asymptotic behaviour of elliptic-parabolic operators. Zbl 0319.35013Marcellini, Paolo; Sbordone, Carlo 16 1977 Dualita e perturbazione di funzionali integrali. Zbl 0393.49007Marcellini, P.; Sbordone, C. 15 1977 Sur quelques questions de G-convergence et d’homogeneisation non linéaire. Zbl 0353.49015Marcellini, Paolo; Sbordone, Carlo 5 1977 Relaxation of non convex variational problems. Zbl 0408.49017Marcellini, Paolo; Sbordone, Carlo 2 1977 Sulla convergenza delle soluzioni di disequazioni variazionali. Zbl 0333.35030Boccardo, Lucio; Marcellini, Paolo 54 1976 Un teorema di passaggio al limite per la somma di funzioni convesse. Zbl 0309.47033Marcellini, Paolo 7 1975 Su una convergenza di funzioni convesse. Zbl 0282.47014Marcellini, Paolo 12 1973 all cited Publications top 5 cited Publications all top 5 Cited by 1,004 Authors 54 Marcellini, Paolo 32 Leonetti, Francesco 32 Mingione, Giuseppe 32 Rădulescu, Vicenţiu D. 27 Papageorgiou, Nikolaos S. 26 Passarelli di Napoli, Antonia 25 Dacorogna, Bernard 24 Mascolo, Elvira 24 Zhang, Qihu 22 Bögelein, Verena 20 Duzaar, Frank 20 Fonseca, Irene 20 Fusco, Nicola 19 Fuchs, Martin 18 De Filippis, Cristiana 17 Winkert, Patrick 16 Cupini, Giovanni 15 Buttazzo, Giuseppe 15 Fan, Xianling 15 Scheven, Christoph 15 Verde, Anna 14 De Arcangelis, Riccardo 14 Giannetti, Flavia 14 Ok, Jihoon 13 Boccardo, Lucio 13 Byun, Sun-Sig 13 Carozza, Menita 13 Dal Maso, Gianni 13 Repovš, Dušan D. 13 Skrypnik, Igor Igorievich 13 Yan, Baisheng 12 Azroul, Elhoussine 12 Bildhauer, Michael 12 Cianchi, Andrea 12 Giova, Raffaella 12 Kristensen, Jan 12 Sbordone, Carlo 12 Sychev, Mikhail A. 12 Vespri, Vincenzo Riccardo 11 Stroffolini, Bianca 11 Tachikawa, Atsushi 10 Acerbi, Emilio 10 Chlebicka, Iwona 10 Gasiński, Leszek 10 Harjulehto, Petteri 10 Hästö, Peter A. 9 Bousquet, Pierre 9 Moscariello, Gioconda 9 Müller, Stefan 9 Zagatti, Sandro 8 Alberico, Angela 8 Balaadich, Farah 8 Braides, Andrea 8 Bulíček, Miroslav 8 Colombo, Maria 8 Diening, Lars 8 Eleuteri, Michela 8 Ragusa, Maria Alessandra 8 Schätzler, Leah 8 Singer, Thomas 8 Zeng, Shengda 7 Amar, Micol 7 Brasco, Lorenzo 7 Breit, Dominic 7 Cellina, Arrigo 7 Conti, Sergio 7 Gao, Hongya 7 Katzourakis, Nikolaos I. 7 Kim, Seonghak 7 Leone, Chiara 7 Malý, Jan 7 Zatorska-Goldstein, Anna 7 Zhang, Kewei 7 Zheng, Shenzhou 6 Bai, Yunru 6 Bouchitté, Guy 6 Chiadò Piat, Valeria 6 Crasta, Graziano 6 De Cicco, Virginia 6 Feo, Filomena 6 Focardi, Matteo 6 Kovalevsky, Alexander Albertovich 6 Mandallena, Jean-Philippe 6 Neff, Patrizio 6 Ornelas, António 6 Petricca, Pier Vincenzo 6 Ponte Castañeda, Pedro 6 Raymond, Jean-Pierre 6 Voitovych, Mykhailo V. 5 Ambrosio, Luigi 5 Arora, Rakesh 5 Beck, Lisa 5 Caboussat, Alexandre 5 Carbone, Luciano 5 Esposito, Luca 5 Fiscella, Alessio 5 Ghiba, Ionel-Dumitrel 5 Gianazza, Ugo Pietro 5 Glowinski, Roland 5 Granucci, Tiziano ...and 904 more Authors all top 5 Cited in 204 Serials 118 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 81 Journal of Mathematical Analysis and Applications 78 Calculus of Variations and Partial Differential Equations 58 Journal of Differential Equations 51 Archive for Rational Mechanics and Analysis 49 Annali di Matematica Pura ed Applicata. Serie Quarta 43 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 32 Manuscripta Mathematica 24 Journal de Mathématiques Pures et Appliquées. Neuvième Série 23 Advances in Calculus of Variations 23 Nonlinear Analysis. Theory, Methods & Applications 22 NoDEA. Nonlinear Differential Equations and Applications 21 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 19 Journal of Functional Analysis 18 Advances in Nonlinear Analysis 17 Journal of Optimization Theory and Applications 17 Communications in Partial Differential Equations 15 Nonlinear Analysis. Real World Applications 13 SIAM Journal on Mathematical Analysis 13 Journal of Mathematical Sciences (New York) 11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 11 Transactions of the American Mathematical Society 11 Forum Mathematicum 11 Journal of Evolution Equations 11 Communications on Pure and Applied Analysis 11 Discrete and Continuous Dynamical Systems. Series S 10 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Journal of Elliptic and Parabolic Equations 9 Applied Mathematics and Optimization 9 Zeitschrift für Analysis und ihre Anwendungen 8 Proceedings of the American Mathematical Society 8 Communications in Contemporary Mathematics 7 Journal of the Mechanics and Physics of Solids 7 Rendiconti del Seminario Matematico della Università di Padova 7 Potential Analysis 6 Applicable Analysis 6 Journal d’Analyse Mathématique 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Journal of Elasticity 6 Journal of Inequalities and Applications 6 Mediterranean Journal of Mathematics 6 Boundary Value Problems 5 Nonlinearity 5 RAIRO. Modélisation Mathématique et Analyse Numérique 5 The Journal of Geometric Analysis 5 Journal of Nonlinear Science 5 Discrete and Continuous Dynamical Systems 5 Mathematics and Mechanics of Solids 5 Analysis & PDE 4 Computer Methods in Applied Mechanics and Engineering 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Mathematische Annalen 4 Mathematische Nachrichten 4 Mathematische Zeitschrift 4 Ricerche di Matematica 4 Siberian Mathematical Journal 4 Chinese Annals of Mathematics. Series B 4 Applications of Mathematics 4 Electronic Journal of Differential Equations (EJDE) 4 St. Petersburg Mathematical Journal 4 Opuscula Mathematica 4 Journal of the European Mathematical Society (JEMS) 4 Advanced Nonlinear Studies 4 Complex Variables and Elliptic Equations 4 Analysis and Mathematical Physics 3 Computers & Mathematics with Applications 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Advances in Mathematics 3 Archiv der Mathematik 3 Indiana University Mathematics Journal 3 Numerische Mathematik 3 Rendiconti del Seminario Matemàtico e Fisico di Milano 3 Acta Applicandae Mathematicae 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Continuum Mechanics and Thermodynamics 3 Journal of Convex Analysis 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Doklady Mathematics 3 Abstract and Applied Analysis 3 Annals of Mathematics. Second Series 3 Milan Journal of Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Journal of Fixed Point Theory and Applications 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Afrika Matematika 3 Journal of Applied Analysis and Computation 3 Journal of Function Spaces 2 Israel Journal of Mathematics 2 Journal of Applied Mathematics and Mechanics 2 Rocky Mountain Journal of Mathematics 2 Czechoslovak Mathematical Journal 2 Numerical Functional Analysis and Optimization 2 Results in Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 Revista Matemática Iberoamericana 2 Applied Mathematics Letters ...and 104 more Serials all top 5 Cited in 45 Fields 817 Partial differential equations (35-XX) 640 Calculus of variations and optimal control; optimization (49-XX) 148 Mechanics of deformable solids (74-XX) 107 Functional analysis (46-XX) 64 Operator theory (47-XX) 47 Real functions (26-XX) 47 Global analysis, analysis on manifolds (58-XX) 30 Ordinary differential equations (34-XX) 27 Fluid mechanics (76-XX) 25 Numerical analysis (65-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 General topology (54-XX) 14 Functions of a complex variable (30-XX) 13 Measure and integration (28-XX) 13 Potential theory (31-XX) 10 Statistical mechanics, structure of matter (82-XX) 10 Operations research, mathematical programming (90-XX) 8 Differential geometry (53-XX) 8 Optics, electromagnetic theory (78-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Convex and discrete geometry (52-XX) 7 Probability theory and stochastic processes (60-XX) 7 Computer science (68-XX) 7 Information and communication theory, circuits (94-XX) 6 History and biography (01-XX) 6 Biology and other natural sciences (92-XX) 6 Systems theory; control (93-XX) 5 Integral equations (45-XX) 5 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Algebraic topology (55-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic geometry (14-XX) 2 Approximations and expansions (41-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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