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Author ID: marcellini.paolo Recent zbMATH articles by "Marcellini, Paolo"
Published as: Marcellini, Paolo; Marcellini, P.
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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 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Differential and Integral Equations
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Advances in Calculus of Variations
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 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
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

Publications by Year

Citations contained in zbMATH Open

101 Publications have been cited 1,575 times in 915 Documents Cited by Year
Regularity and existence of solutions of elliptic equations with p,q- growth conditions. Zbl 0724.35043
Marcellini, Paolo
440
1991
Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032
Marcellini, Paolo
348
1989
Everywhere regularity for a class of elliptic systems without growth conditions. Zbl 0922.35031
Marcellini, Paolo
134
1996
Regularity for elliptic equations with general growth conditions. Zbl 0812.35042
Marcellini, Paolo
124
1993
On the definition and the lower semicontinuity of certain quasiconvex integrals. Zbl 0609.49009
Marcellini, Paolo
117
1986
Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals. Zbl 0573.49010
Marcellini, Paolo
108
1985
Implicit partial differential equations. Zbl 0938.35002
Dacorogna, Bernard; Marcellini, Paolo
99
1999
Nonlinear elliptic systems with general growth. Zbl 1330.35131
Marcellini, Paolo; Papi, Gloria
79
2006
Periodic solutions and homogenization of non linear variational problems. Zbl 0395.49007
Marcellini, Paolo
76
1978
Parabolic systems with \({p,q}\)-growth: a variational approach. Zbl 1292.35146
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo
76
2013
Lipschitz estimates for systems with ellipticity conditions at infinity. Zbl 1354.35035
Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira
71
2016
General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027
Dacorogna, Bernard; Marcellini, Paolo
66
1997
Existence of evolutionary variational solutions via the calculus of variations. Zbl 1288.35007
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo
63
2014
Sulla convergenza delle soluzioni di disequazioni variazionali. Zbl 0333.35030
Boccardo, Lucio; Marcellini, Paolo
54
1976
Regularity for some scalar variational problems under general growth conditions. Zbl 0901.49030
Marcellini, P.
49
1996
Semicontinuity problems in the calculus of variations. Zbl 0537.49002
Marcellini, Paolo; Sbordone, Carlo
49
1980
Anisotropic equations in \(L^ 1\). Zbl 0838.35048
Boccardo, L.; Gallouet, T.; Marcellini, P.
49
1996
Lipschitz continuity for energy integrals with variable exponents. Zbl 1338.35169
Eleuteri, Mchela; Marcellini, Paolo; Mascolo, Elvira
48
2016
L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058
Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo
47
1990
An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
46
2002
Parabolic equations with \(p,q\)-growth. Zbl 1288.35302
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo
45
2013
Growth conditions and regularity for weak solutions to nonlinear elliptic PDEs. Zbl 1512.35301
Marcellini, Paolo
38
2021
Regularity for scalar integrals without structure conditions. Zbl 1445.35159
Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira
37
2020
Local boundedness of minimizers with limit growth conditions. Zbl 1325.49043
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
36
2015
Regularity under sharp anisotropic general growth conditions. Zbl 1158.49040
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
34
2009
Regularity under general and \(p,q\)-growth conditions. Zbl 1439.35102
Marcellini, Paolo
32
2020
Local boundedness of solutions to quasilinear elliptic systems. Zbl 1235.35129
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
32
2012
A variational approach to parabolic equations under general and \(p,q\)-growth conditions. Zbl 1436.35235
Marcellini, Paolo
31
2020
Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
30
2014
Regularity of minimizers under limit growth conditions. Zbl 1358.49032
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
30
2017
Doubly nonlinear equations of porous medium type. Zbl 1394.35349
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
29
2018
A time dependent variational approach to image restoration. Zbl 1380.94012
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo
28
2015
Homogenization of non-uniformly elliptic operators. Zbl 0406.35014
Marcellini, Paolo; Sbordone, Carlo
28
1978
Quasiconvex quadratic forms in two dimensions. Zbl 0567.49007
Marcellini, Paolo
23
1984
Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011
Fonseca, Irene; Marcellini, Paolo
23
1997
Non convex integrals of the calculus of variations. Zbl 0735.49002
Marcellini, Paolo
21
1990
Existence of minimizers for non-quasiconvex integrals. Zbl 0837.49002
Dacorogna, Bernard; Marcellini, Paolo
21
1995
Alcune osservazioni sull’esistenza del minimo di integrali del calcolo delle variazioni senza ipotesi di convessita. Zbl 0454.49015
Marcellini, Paolo
21
1980
Nonuniformly elliptic energy integrals with \(p, q\)-growth. Zbl 1403.49033
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
20
2018
On the existence of minima of multiple integrals of the calculus of variations. Zbl 0516.49011
Marcellini, Paolo; Sbordone, Carlo
20
1983
A general approach to the existence of minimizers of one-dimensional non- coercive integrals of the calculus of variations. Zbl 0729.49002
Botteron, Bernard; Marcellini, Paolo
20
1991
The stored-energy for some discontinuous deformations in nonlinear elasticity. Zbl 0679.73006
Marcellini, Paolo
20
1989
Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants. (Semicontinuity for polyconvex integrands without continuity of determinants). Zbl 0723.49007
Dacorogna, Bernard; Marcellini, Paolo
19
1990
An approach to the asymptotic behaviour of elliptic-parabolic operators. Zbl 0319.35013
Marcellini, Paolo; Sbordone, Carlo
17
1977
Local boundedness of solutions to some anisotropic elliptic systems. Zbl 1294.35016
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
16
2013
Space expansion for a solution of an anisotropic \(p\)-Laplacian equation by using a parabolic approach. Zbl 1327.35113
Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo
16
2014
Existence of minimizers for some non convex one-dimensional integrals. Zbl 0912.49015
Fusco, N.; Marcellini, P.; Ornelas, A.
16
1998
Parabolic equations and the bounded slope condition. Zbl 1372.35161
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano
16
2017
Dualita e perturbazione di funzionali integrali. Zbl 0393.49007
Marcellini, P.; Sbordone, C.
15
1977
A variational approach to doubly nonlinear equations. Zbl 1407.35123
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
15
2018
Nonlocal diffusion equations. Zbl 1332.35195
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano
14
2015
Origami and partial differential equations. Zbl 1328.00022
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
13
2010
A-priori gradient bound for elliptic systems under either slow or fast growth conditions. Zbl 1442.35049
Di Marco, Tommaso; Marcellini, Paolo
12
2020
Su una convergenza di funzioni convesse. Zbl 0282.47014
Marcellini, Paolo
12
1973
Elliptic versus parabolic regularization for the equation of prescribed mean curvature. Zbl 0890.35046
Marcellini, Paolo; Miller, Keith
12
1997
A counterexample in the vectorial calculus of variations. Zbl 0641.49007
Dacorogna, Bernard; Marcellini, Paolo
12
1988
Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042
Dacorogna, B.; Marcellini, P.; Paolini, E.
12
2008
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 0846.35028
Dacorogna, Bernard; Marcellini, Paolo
11
1996
Integral convexity and parabolic systems. Zbl 1509.35146
Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
10
2020
On a volume-constrained variational problem. Zbl 0945.49005
Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc
10
1999
Local Lipschitz continuity of minimizers with mild assumptions on the \(x\)-dependence. Zbl 1411.49022
Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira
10
2019
An alternative approach to the Hölder continuity of solutions to some elliptic equations. Zbl 1284.35198
Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo
10
2014
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 0860.35020
Dacorogna, Bernard; Marcellini, Paolo
9
1996
Asymptotic growth for the parabolic equation of prescribed mean curvature. Zbl 0545.35044
Marcellini, Paolo; Miller, Keith
9
1984
Bounds for the third membrane eigenvalue. Zbl 0421.35066
Marcellini, Paolo
9
1980
An explicit solution to a system of implicit differential equations. Zbl 1141.35014
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
9
2008
On the total variation of the Jacobian. Zbl 1041.49016
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
8
2004
On some sharp conditions for lower semicontinuity in \(L^1\). Zbl 1028.49012
Gori, Michele; Maggi, Francesco; Marcellini, Paolo
7
2003
A relation between existence of minima for non convex integrals and uniqueness for non strictly convex integrals of the calculus of variations. Zbl 0505.49009
Marcellini, Paolo
7
1983
Un teorema di passaggio al limite per la somma di funzioni convesse. Zbl 0309.47033
Marcellini, Paolo
7
1975
Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence. Zbl 1501.35188
Marcellini, P
6
2023
Convergence of second order linear elliptic operators. Zbl 0408.35028
Marcellini, Paolo
6
1979
Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
6
2005
Some remarks on uniqueness in the calculus of variations. Zbl 0521.49005
Marcellini, P.
6
1983
An extension of the Serrin’s lower semicontinuity theorem. Zbl 1019.49021
Gori, Michele; Marcellini, Paolo
6
2002
Boundary regularity for elliptic systems with \(p,q\)-growth. Zbl 1487.35147
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
6
2022
On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023
Dacorogna, Bernard; Marcellini, Paolo
5
1999
On the \(n\)-dimensional Dirichlet problem for isometric maps. Zbl 1160.35374
Dacorogna, B.; Marcellini, P.; Paolini, E.
5
2008
Sur quelques questions de G-convergence et d’homogeneisation non linéaire. Zbl 0353.49015
Marcellini, Paolo; Sbordone, Carlo
5
1977
Functions with orthogonal Hessian. Zbl 1240.35073
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
4
2010
Weak lower semicontinuity for polyconvex integrals in the limit case. Zbl 1297.49018
Focardi, M.; Fusco, N.; Leone, C.; Marcellini, P.; Mascolo, E.; Verde, A.
3
2014
Viscosity solutions, almost everywhere solutions and explicit formulas. Zbl 1069.34007
Dacorogna, Bernard; Marcellini, Paolo
3
2004
Weak lower semicontinuity for non coercive polyconvex integrals. Zbl 1146.49008
Amar, Micol; De Cicco, Virginia; Marcellini, Paolo; Mascolo, Elvira
3
2008
Local Lipschitz continuity for energy integrals with slow growth. Zbl 1491.35192
Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira; Perrotta, Stefania
2
2022
Relaxation of non convex variational problems. Zbl 0408.49017
Marcellini, Paolo; Sbordone, Carlo
2
1977
Implicit type equations with constraints. (Équations de type implicite avec contraintes.) Zbl 0960.35004
Dacorogna, Bernard; Marcellini, Paolo; Tanteri, Chiara
2
2000
Origami and partial differential equations. Zbl 1247.00053
Marcellini, Paolo; Paolini, Emanuele
2
2012
The two well problem for piecewise affine maps. Zbl 1258.35061
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
2
2012
Lipschitz regularity for degenerate elliptic integrals with \(p, q\)-growth. Zbl 1511.49001
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira; Passarelli di Napoli, Antonia
2
2023
Some problems of semicontinuity and of \(\Gamma\)-convergence for integrals of the calculus of variations. Zbl 0405.49021
Marcellini, Paolo
1
1979
Attainment of minima and implicit partial differential equations. Zbl 0939.49013
Dacorogna, Bernard; Marcellini, Paolo
1
1999
The degenerate two well problem for piecewise affine maps. Zbl 1275.35081
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
1
2013
Dirichlet problem for nonlinear first order partial differential equations. Zbl 0882.35031
Dacorogna, Bernard; Marcellini, Paolo
1
1997
Some problems of \(\Gamma\)-convergence. Zbl 0552.49012
Marcellini, Paolo
1
1983
Implicit second order partial differential equations. Zbl 1003.35043
Dacorogna, Bernard; Marcellini, Paolo
1
1997
Regularization for prescribed mean curvature and for motion by mean curvature. Zbl 0837.35014
Marcellini, 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 0851.49016
Marcellini, Paolo
1
1996
Some recent developments in the 19th and 20th Hilbert problems. Zbl 0886.49014
Marcellini, Paolo
1
1997
Interior gradient bounds for nonlinear elliptic systems. Zbl 1454.35005
Marcellini, Paolo
1
2020
Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence. Zbl 1501.35188
Marcellini, P
6
2023
Lipschitz regularity for degenerate elliptic integrals with \(p, q\)-growth. Zbl 1511.49001
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira; Passarelli di Napoli, Antonia
2
2023
Boundary regularity for elliptic systems with \(p,q\)-growth. Zbl 1487.35147
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
6
2022
Local Lipschitz continuity for energy integrals with slow growth. Zbl 1491.35192
Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira; Perrotta, Stefania
2
2022
Growth conditions and regularity for weak solutions to nonlinear elliptic PDEs. Zbl 1512.35301
Marcellini, Paolo
38
2021
Anisotropy versus inhomogeneity in the calculus of variations. Zbl 1467.35126
Marcellini, Paolo
1
2021
Regularity for scalar integrals without structure conditions. Zbl 1445.35159
Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira
37
2020
Regularity under general and \(p,q\)-growth conditions. Zbl 1439.35102
Marcellini, Paolo
32
2020
A variational approach to parabolic equations under general and \(p,q\)-growth conditions. Zbl 1436.35235
Marcellini, Paolo
31
2020
A-priori gradient bound for elliptic systems under either slow or fast growth conditions. Zbl 1442.35049
Di Marco, Tommaso; Marcellini, Paolo
12
2020
Integral convexity and parabolic systems. Zbl 1509.35146
Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
10
2020
Interior gradient bounds for nonlinear elliptic systems. Zbl 1454.35005
Marcellini, Paolo
1
2020
Local Lipschitz continuity of minimizers with mild assumptions on the \(x\)-dependence. Zbl 1411.49022
Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira
10
2019
Doubly nonlinear equations of porous medium type. Zbl 1394.35349
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
29
2018
Nonuniformly elliptic energy integrals with \(p, q\)-growth. Zbl 1403.49033
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
20
2018
A variational approach to doubly nonlinear equations. Zbl 1407.35123
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
15
2018
Regularity of minimizers under limit growth conditions. Zbl 1358.49032
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
30
2017
Parabolic equations and the bounded slope condition. Zbl 1372.35161
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano
16
2017
Lipschitz estimates for systems with ellipticity conditions at infinity. Zbl 1354.35035
Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira
71
2016
Lipschitz continuity for energy integrals with variable exponents. Zbl 1338.35169
Eleuteri, Mchela; Marcellini, Paolo; Mascolo, Elvira
48
2016
Local boundedness of minimizers with limit growth conditions. Zbl 1325.49043
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
36
2015
A time dependent variational approach to image restoration. Zbl 1380.94012
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo
28
2015
Nonlocal diffusion equations. Zbl 1332.35195
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano
14
2015
Existence of evolutionary variational solutions via the calculus of variations. Zbl 1288.35007
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo
63
2014
Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
30
2014
Space expansion for a solution of an anisotropic \(p\)-Laplacian equation by using a parabolic approach. Zbl 1327.35113
Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo
16
2014
An alternative approach to the Hölder continuity of solutions to some elliptic equations. Zbl 1284.35198
Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo
10
2014
Weak lower semicontinuity for polyconvex integrals in the limit case. Zbl 1297.49018
Focardi, M.; Fusco, N.; Leone, C.; Marcellini, P.; Mascolo, E.; Verde, A.
3
2014
Parabolic systems with \({p,q}\)-growth: a variational approach. Zbl 1292.35146
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo
76
2013
Parabolic equations with \(p,q\)-growth. Zbl 1288.35302
Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo
45
2013
Local boundedness of solutions to some anisotropic elliptic systems. Zbl 1294.35016
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
16
2013
The degenerate two well problem for piecewise affine maps. Zbl 1275.35081
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
1
2013
Local boundedness of solutions to quasilinear elliptic systems. Zbl 1235.35129
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
32
2012
Origami and partial differential equations. Zbl 1247.00053
Marcellini, Paolo; Paolini, Emanuele
2
2012
The two well problem for piecewise affine maps. Zbl 1258.35061
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
2
2012
Origami and partial differential equations. Zbl 1328.00022
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
13
2010
Functions with orthogonal Hessian. Zbl 1240.35073
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
4
2010
Regularity under sharp anisotropic general growth conditions. Zbl 1158.49040
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira
34
2009
Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042
Dacorogna, B.; Marcellini, P.; Paolini, E.
12
2008
An explicit solution to a system of implicit differential equations. Zbl 1141.35014
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
9
2008
On the \(n\)-dimensional Dirichlet problem for isometric maps. Zbl 1160.35374
Dacorogna, B.; Marcellini, P.; Paolini, E.
5
2008
Weak lower semicontinuity for non coercive polyconvex integrals. Zbl 1146.49008
Amar, Micol; De Cicco, Virginia; Marcellini, Paolo; Mascolo, Elvira
3
2008
Nonlinear elliptic systems with general growth. Zbl 1330.35131
Marcellini, Paolo; Papi, Gloria
79
2006
Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
6
2005
On the total variation of the Jacobian. Zbl 1041.49016
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
8
2004
Viscosity solutions, almost everywhere solutions and explicit formulas. Zbl 1069.34007
Dacorogna, Bernard; Marcellini, Paolo
3
2004
On some sharp conditions for lower semicontinuity in \(L^1\). Zbl 1028.49012
Gori, Michele; Maggi, Francesco; Marcellini, Paolo
7
2003
An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011
Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo
46
2002
An extension of the Serrin’s lower semicontinuity theorem. Zbl 1019.49021
Gori, Michele; Marcellini, Paolo
6
2002
Implicit type equations with constraints. (Équations de type implicite avec contraintes.) Zbl 0960.35004
Dacorogna, Bernard; Marcellini, Paolo; Tanteri, Chiara
2
2000
Implicit partial differential equations. Zbl 0938.35002
Dacorogna, Bernard; Marcellini, Paolo
99
1999
On a volume-constrained variational problem. Zbl 0945.49005
Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc
10
1999
On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023
Dacorogna, Bernard; Marcellini, Paolo
5
1999
Attainment of minima and implicit partial differential equations. Zbl 0939.49013
Dacorogna, Bernard; Marcellini, Paolo
1
1999
Existence of minimizers for some non convex one-dimensional integrals. Zbl 0912.49015
Fusco, N.; Marcellini, P.; Ornelas, A.
16
1998
General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027
Dacorogna, Bernard; Marcellini, Paolo
66
1997
Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011
Fonseca, Irene; Marcellini, Paolo
23
1997
Elliptic versus parabolic regularization for the equation of prescribed mean curvature. Zbl 0890.35046
Marcellini, Paolo; Miller, Keith
12
1997
Dirichlet problem for nonlinear first order partial differential equations. Zbl 0882.35031
Dacorogna, Bernard; Marcellini, Paolo
1
1997
Implicit second order partial differential equations. Zbl 1003.35043
Dacorogna, Bernard; Marcellini, Paolo
1
1997
Some recent developments in the 19th and 20th Hilbert problems. Zbl 0886.49014
Marcellini, Paolo
1
1997
Everywhere regularity for a class of elliptic systems without growth conditions. Zbl 0922.35031
Marcellini, Paolo
134
1996
Regularity for some scalar variational problems under general growth conditions. Zbl 0901.49030
Marcellini, P.
49
1996
Anisotropic equations in \(L^ 1\). Zbl 0838.35048
Boccardo, L.; Gallouet, T.; Marcellini, P.
49
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 0846.35028
Dacorogna, 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 0860.35020
Dacorogna, 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 0851.49016
Marcellini, Paolo
1
1996
Existence of minimizers for non-quasiconvex integrals. Zbl 0837.49002
Dacorogna, Bernard; Marcellini, Paolo
21
1995
Regularization for prescribed mean curvature and for motion by mean curvature. Zbl 0837.35014
Marcellini, Paolo; Miller, Keith
1
1995
Regularity for elliptic equations with general growth conditions. Zbl 0812.35042
Marcellini, Paolo
124
1993
Regularity and existence of solutions of elliptic equations with p,q- growth conditions. Zbl 0724.35043
Marcellini, Paolo
440
1991
A general approach to the existence of minimizers of one-dimensional non- coercive integrals of the calculus of variations. Zbl 0729.49002
Botteron, Bernard; Marcellini, Paolo
20
1991
L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058
Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo
47
1990
Non convex integrals of the calculus of variations. Zbl 0735.49002
Marcellini, Paolo
21
1990
Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants. (Semicontinuity for polyconvex integrands without continuity of determinants). Zbl 0723.49007
Dacorogna, Bernard; Marcellini, Paolo
19
1990
Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032
Marcellini, Paolo
348
1989
The stored-energy for some discontinuous deformations in nonlinear elasticity. Zbl 0679.73006
Marcellini, Paolo
20
1989
A counterexample in the vectorial calculus of variations. Zbl 0641.49007
Dacorogna, Bernard; Marcellini, Paolo
12
1988
On the definition and the lower semicontinuity of certain quasiconvex integrals. Zbl 0609.49009
Marcellini, Paolo
117
1986
Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals. Zbl 0573.49010
Marcellini, Paolo
108
1985
Quasiconvex quadratic forms in two dimensions. Zbl 0567.49007
Marcellini, Paolo
23
1984
Asymptotic growth for the parabolic equation of prescribed mean curvature. Zbl 0545.35044
Marcellini, Paolo; Miller, Keith
9
1984
On the existence of minima of multiple integrals of the calculus of variations. Zbl 0516.49011
Marcellini, Paolo; Sbordone, Carlo
20
1983
A relation between existence of minima for non convex integrals and uniqueness for non strictly convex integrals of the calculus of variations. Zbl 0505.49009
Marcellini, Paolo
7
1983
Some remarks on uniqueness in the calculus of variations. Zbl 0521.49005
Marcellini, P.
6
1983
Some problems of \(\Gamma\)-convergence. Zbl 0552.49012
Marcellini, Paolo
1
1983
Semicontinuity problems in the calculus of variations. Zbl 0537.49002
Marcellini, Paolo; Sbordone, Carlo
49
1980
Alcune osservazioni sull’esistenza del minimo di integrali del calcolo delle variazioni senza ipotesi di convessita. Zbl 0454.49015
Marcellini, Paolo
21
1980
Bounds for the third membrane eigenvalue. Zbl 0421.35066
Marcellini, Paolo
9
1980
Convergence of second order linear elliptic operators. Zbl 0408.35028
Marcellini, Paolo
6
1979
Some problems of semicontinuity and of \(\Gamma\)-convergence for integrals of the calculus of variations. Zbl 0405.49021
Marcellini, Paolo
1
1979
Periodic solutions and homogenization of non linear variational problems. Zbl 0395.49007
Marcellini, Paolo
76
1978
Homogenization of non-uniformly elliptic operators. Zbl 0406.35014
Marcellini, Paolo; Sbordone, Carlo
28
1978
An approach to the asymptotic behaviour of elliptic-parabolic operators. Zbl 0319.35013
Marcellini, Paolo; Sbordone, Carlo
17
1977
Dualita e perturbazione di funzionali integrali. Zbl 0393.49007
Marcellini, P.; Sbordone, C.
15
1977
Sur quelques questions de G-convergence et d’homogeneisation non linéaire. Zbl 0353.49015
Marcellini, Paolo; Sbordone, Carlo
5
1977
Relaxation of non convex variational problems. Zbl 0408.49017
Marcellini, Paolo; Sbordone, Carlo
2
1977
Sulla convergenza delle soluzioni di disequazioni variazionali. Zbl 0333.35030
Boccardo, Lucio; Marcellini, Paolo
54
1976
Un teorema di passaggio al limite per la somma di funzioni convesse. Zbl 0309.47033
Marcellini, Paolo
7
1975
...and 1 more Documents
all top 5

Cited by 797 Authors

47 Marcellini, Paolo
26 Rădulescu, Vicenţiu D.
25 Dacorogna, Bernard
22 Mingione, Giuseppe
20 Fonseca, Irene
20 Leonetti, Francesco
20 Mascolo, Elvira
18 Fusco, Nicola
17 Passarelli di Napoli, Antonia
16 De Filippis, Cristiana
15 Cupini, Giovanni
15 Papageorgiou, Nikolaos S.
14 Buttazzo, Giuseppe
14 De Arcangelis, Riccardo
14 Yan, Baisheng
13 Bögelein, Verena
13 Dal Maso, Gianni
12 Boccardo, Lucio
12 Vespri, Vincenzo Riccardo
11 Duzaar, Frank
11 Repovš, Dušan D.
11 Sbordone, Carlo
11 Scheven, Christoph
10 Carozza, Menita
10 Chlebicka, Iwona
10 Giova, Raffaella
10 Kristensen, Jan
10 Verde, Anna
9 Azroul, Elhoussine
9 Giannetti, Flavia
9 Katzourakis, Nikolaos I.
9 Moscariello, Gioconda
9 Müller, Stefan
9 Sychev, Mikhail A.
9 Zagatti, Sandro
8 Byun, Sun-Sig
8 Colombo, Maria
8 Eleuteri, Michela
8 Kim, Seonghak
7 Braides, Andrea
7 Brasco, Lorenzo
7 Conti, Sergio
7 Malý, Jan
7 Neff, Patrizio
7 Ornelas, António
7 Ponte Castañeda, Pedro
7 Winkert, Patrick
7 Zhang, Kewei
6 Acerbi, Emilio
6 Alberico, Angela
6 Amar, Micol
6 Baroni, Paolo
6 Bouchitté, Guy
6 Bousquet, Pierre
6 Chiadò Piat, Valeria
6 De Cicco, Virginia
6 Feo, Filomena
6 Focardi, Matteo
6 Gasiński, Leszek
6 Ghiba, Ionel-Dumitrel
6 Kovalevsky, Alexander Albertovich
6 Leone, Chiara
6 Mandallena, Jean-Philippe
6 Martin, Robert J.
6 Schätzler, Leah
6 Zatorska-Goldstein, Anna
5 Ambrosio, Luigi
5 Bai, Yunru
5 Balaadich, Farah
5 Caboussat, Alexandre
5 Carbone, Luciano
5 Dolzmann, Georg
5 Gao, Hongya
5 Gentile, Andrea
5 Glowinski, Roland
5 Leoni, Giovanni
5 Lopez-Pamies, Oscar
5 Oh, Jehan
5 Ok, Jihoon
5 Paolini, Emanuele
5 Pisante, Giovanni
5 Pucci, Patrizia
5 Rüland, Angkana
5 Schäffner, Mathias
5 Székelyhidi, László jun.
5 Visintin, Augusto
5 Zappale, Elvira
5 Zeng, Shengda
4 Anza Hafsa, Omar
4 Baasandorj, Sumiya
4 Babadjian, Jean-François
4 Cardaliaguet, Pierre
4 Cellina, Arrigo
4 Cianchi, Andrea
4 Corbo Esposito, Antonio
4 Crasta, Graziano
4 Croce, Gisella
4 De Lellis, Camillo
4 Di Blasio, Giuseppina
4 di Castro, Agnese
...and 697 more Authors
all top 5

Cited in 185 Serials

68 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
51 Calculus of Variations and Partial Differential Equations
46 Journal of Mathematical Analysis and Applications
45 Archive for Rational Mechanics and Analysis
37 Annali di Matematica Pura ed Applicata. Serie Quarta
36 Journal of Differential Equations
35 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
28 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
21 Manuscripta Mathematica
21 Journal de Mathématiques Pures et Appliquées. Neuvième Série
21 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
17 Nonlinear Analysis. Theory, Methods & Applications
16 Journal of Functional Analysis
16 NoDEA. Nonlinear Differential Equations and Applications
15 Advances in Calculus of Variations
15 Advances in Nonlinear Analysis
11 Journal of Optimization Theory and Applications
11 Nonlinear Analysis. Real World Applications
10 Transactions of the American Mathematical Society
10 SIAM Journal on Mathematical Analysis
10 Journal of Elliptic and Parabolic Equations
9 Communications in Partial Differential Equations
8 Applied Mathematics and Optimization
8 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
8 Discrete and Continuous Dynamical Systems. Series S
7 Journal of the Mechanics and Physics of Solids
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
7 Rendiconti del Seminario Matematico della Università di Padova
7 Forum Mathematicum
7 Communications in Contemporary Mathematics
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Applicable Analysis
6 Journal of Elasticity
6 Journal of Evolution Equations
5 Journal d’Analyse Mathématique
5 Proceedings of the American Mathematical Society
5 Ricerche di Matematica
5 RAIRO. Modélisation Mathématique et Analyse Numérique
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 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Rendiconti del Seminario Matemàtico e Fisico di Milano
4 Zeitschrift für Analysis und ihre Anwendungen
4 Chinese Annals of Mathematics. Series B
4 The Journal of Geometric Analysis
4 Applications of Mathematics
4 Potential Analysis
4 Communications on Pure and Applied Analysis
4 Mediterranean Journal of Mathematics
3 Nonlinearity
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Acta Applicandae Mathematicae
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Continuum Mechanics and Thermodynamics
3 Journal of Mathematical Sciences (New York)
3 Annales Academiae Scientiarum Fennicae. Mathematica
3 Doklady Mathematics
3 Annals of Mathematics. Second Series
3 Journal of the European Mathematical Society (JEMS)
3 Analysis and Mathematical Physics
2 Journal of Applied Mathematics and Mechanics
2 Mathematical Methods in the Applied Sciences
2 Archiv der Mathematik
2 Inventiones Mathematicae
2 Journal of the London Mathematical Society. Second Series
2 Numerische Mathematik
2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
2 Journal of Integral Equations and Applications
2 Bulletin of the American Mathematical Society. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Topological Methods in Nonlinear Analysis
2 Journal of Convex Analysis
2 Opuscula Mathematica
2 Journal of Inequalities and Applications
2 Interfaces and Free Boundaries
2 Advanced Nonlinear Studies
2 Milan Journal of Mathematics
2 Analysis and Applications (Singapore)
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Complex Variables and Elliptic Equations
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Journal of Fixed Point Theory and Applications
2 Networks and Heterogeneous Media
1 Acta Mechanica
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 International Journal of Solids and Structures
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
...and 85 more Serials
all top 5

Cited in 42 Fields

551 Partial differential equations (35-XX)
487 Calculus of variations and optimal control; optimization (49-XX)
141 Mechanics of deformable solids (74-XX)
60 Functional analysis (46-XX)
42 Real functions (26-XX)
35 Operator theory (47-XX)
23 Numerical analysis (65-XX)
22 Global analysis, analysis on manifolds (58-XX)
18 Ordinary differential equations (34-XX)
16 General topology (54-XX)
14 Fluid mechanics (76-XX)
13 Measure and integration (28-XX)
9 Functions of a complex variable (30-XX)
8 Potential theory (31-XX)
8 Differential geometry (53-XX)
8 Optics, electromagnetic theory (78-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Convex and discrete geometry (52-XX)
7 Operations research, mathematical programming (90-XX)
6 History and biography (01-XX)
6 Information and communication theory, circuits (94-XX)
5 Probability theory and stochastic processes (60-XX)
5 Computer science (68-XX)
5 Systems theory; control (93-XX)
4 General and overarching topics; collections (00-XX)
4 Mechanics of particles and systems (70-XX)
4 Biology and other natural sciences (92-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Integral equations (45-XX)
3 Algebraic topology (55-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Algebraic geometry (14-XX)
2 Geometry (51-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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