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Sbordone, Carlo

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Author ID: sbordone.carlo Recent zbMATH articles by "Sbordone, Carlo"
Published as: Sbordone, Carlo; Sbordone, C.
External Links: Wikidata
Documents Indexed: 128 Publications since 1972, including 4 Books
Biographic References: 2 Publications
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Serials

10 Ricerche di Matematica
6 Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche. Serie IV
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Journal of Mathematical Analysis and Applications
3 Studia Mathematica
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of Fixed Point Theory and Applications
3 Journal of Elliptic and Parabolic Equations
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Journal of Functional Analysis
2 Manuscripta Mathematica
2 Le Matematiche
2 Rendiconti del Seminario Matematico
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Differential and Integral Equations
2 Atti del Seminario Matematico e Fisico dell’Università di Modena
2 Communications in Partial Differential Equations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Journal d’Analyse Mathématique
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Differential Equations
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Mathematica Scandinavica
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Rendiconti dell’Accademia delle Scienze Fisiche e Matemàtiche. Serie IV
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni
1 Asymptotic Analysis
1 Publicacions Matemàtiques
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bollettino della Unione Matemàtica Italiana. Serie VII. A
1 Topological Methods in Nonlinear Analysis
1 Calculus of Variations and Partial Differential Equations
1 Georgian Mathematical Journal
1 Journal of Convex Analysis
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 Annales Academiae Scientiarum Fennicae. Mathematica
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 A. La Matematica nella Società e nella Cultura
1 Communications in Contemporary Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Communications on Pure and Applied Analysis
1 Milan Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 Bollettino della Unione Matematica Italiana. Series IV
1 Bollettino della Unione Matematica Italiana. Series V. A
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 Advances in Calculus of Variations
1 Nonlinear Analysis. Theory, Methods & Applications
1 Progress in Nonlinear Differential Equations and Their Applications

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 1,585 times in 868 Documents Cited by Year
On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016
Iwaniec, Tadeusz; Sbordone, Carlo
185
1992
Weak minima of variational integrals. Zbl 0802.35016
Iwaniec, T.; Sbordone, C.
122
1994
Inverting the \(p\)-harmonic operator. Zbl 0869.35037
Greco, Luigi; Iwaniec, Tadeusz; Sbordone, Carlo
117
1997
Some properties of Gamma-limits of integral functionals. Zbl 0474.49016
Carbone, Luciano; Sbordone, Carlo
76
1979
Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025
Fusco, Nicola; Sbordone, Carlo
74
1993
Existence and uniqueness results for solutions of nonlinear equations with right hand side in \(L^1\). Zbl 0891.35039
Fiorenza, A.; Sbordone, C.
62
1998
Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions. Zbl 0727.49021
Fusco, Nicola; Sbordone, Carlo
57
1990
Sobolev imbedding theorems in borderline cases. Zbl 0841.46023
Fusco, Nicola; Lions, Pierre Louis; Sbordone, Carlo
54
1996
Riesz transforms and elliptic PDEs with VMO coefficients. Zbl 0909.35039
Iwaniec, T.; Sbordone, C.
53
1998
Semicontinuity problems in the calculus of variations. Zbl 0537.49002
Marcellini, Paolo; Sbordone, Carlo
48
1980
Quasiharmonic fields. Zbl 1068.30011
Iwaniec, Tadeusz; Sbordone, Carlo
45
2001
L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058
Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo
42
1990
Local boundedness of minimizers in a limit case. Zbl 0722.49012
Fusco, Nicola; Sbordone, Carlo
36
1990
The distance to \(L^{\infty }\) in some function spaces and applications. Zbl 0889.35027
Carozza, M.; Sbordone, C.
29
1997
Integrability for the Jacobian of orientation preserving mappings. Zbl 0847.26012
Brézis, Haïm; Fusco, Nicola; Sbordone, Carlo
28
1993
Homogenization of non-uniformly elliptic operators. Zbl 0406.35014
Marcellini, Paolo; Sbordone, Carlo
27
1978
Weak lower semicontinuity of polyconvex integrals: A borderline case. Zbl 0822.49010
Dal Maso, G.; Sbordone, C.
24
1995
Bi-Sobolev mappings and elliptic equations in the plane. Zbl 1169.30007
Hencl, S.; Moscariello, G.; Passarelli di Napoli, Antonia; Sbordone, C.
24
2009
Grand Sobolev spaces and their application to variational problems. Zbl 0915.46030
Sbordone, Carlo
22
1996
The Muckenhoupt class \(A_ 1(\mathbb{R})\). Zbl 0808.42010
Bojarski, B.; Sbordone, C.; Wik, I.
20
1992
Su alcune applicazioni di un tipo di convergenza variazionale. Zbl 0317.49012
Sbordone, Carlo
19
1975
On the existence of minima of multiple integrals of the calculus of variations. Zbl 0516.49011
Marcellini, Paolo; Sbordone, Carlo
19
1983
The limit of \(W^{1,1}\) homeomorphisms with finite distortion. Zbl 1157.30016
Fusco, N.; Moscariello, G.; Sbordone, C.
18
2008
Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. Zbl 1047.30010
Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C.
17
2003
An approach to the asymptotic behaviour of elliptic-parabolic operators. Zbl 0319.35013
Marcellini, Paolo; Sbordone, Carlo
16
1977
Grand Sobolev spaces and their applications in geometric function theory and PDEs. Zbl 1292.46021
D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta
16
2013
\(\Gamma^-\) convergenza e \(G\)-convergenza per problemi non lineari di tipo ellittico. Zbl 0345.49004
Ambrosetti, Antonio; Sbordone, Carlo
15
1976
Dualita e perturbazione di funzionali integrali. Zbl 0393.49007
Marcellini, P.; Sbordone, C.
15
1977
Integrability and removability results for quasiregular mappings in high dimensions. Zbl 0824.30009
Iwaniec, T.; Migliaccio, L.; Nania, L.; Sbordone, C.
13
1994
Reverse Hölder inequalities. A sharp result. Zbl 0711.42027
D’Apuzzo, L.; Sbordone, C.
13
1990
Alcune questioni di convergenza per operatori differenziali del \(2^\circ\) ordine. Zbl 0308.35033
Sbordone, Carlo
11
1974
Variational integrals of nearly linear growth. Zbl 0889.35026
Greco, L.; Iwaniec, T.; Sbordone, C.
11
1997
Quasiminimizers in one dimension: integrability of the derivate, inverse function and obstacle problems. Zbl 1150.49016
Martio, O.; Sbordone, Carlo
11
2007
The \(L^p\)-solvability of the Dirichlet problem for planar elliptic equations, sharp results. Zbl 1183.35105
Sbordone, Carlo; Zecca, Gabriella
10
2009
Nonlinear elliptic equations with right hand side in nonstandard spaces. Zbl 0913.35050
Sbordone, Carlo
10
1998
Caccioppoli estimates and very weak solutions of elliptic equations. Zbl 1225.35069
Iwaniec, Tadeusz; Sbordone, Carlo
10
2003
Planar quasilinear elliptic equations with right-hand side in \(L(\log L)^{\delta}\). Zbl 1236.35064
Alberico, Angela; Alberico, Teresa; Sbordone, Carlo
9
2011
Degree formulas for maps with nonintegrable Jacobian. Zbl 0854.58005
Greco, Luigi; Iwaniec, Tadeusz; Sbordone, Carlo; Stroffolini, Bianca
9
1995
Continuity properties of solutions to the \(p\)-Laplace system. Zbl 1378.35145
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
9
2017
On the continuity of solutions to degenerate elliptic equations. Zbl 1213.35231
Cruz-Uribe, D.; Di Gironimo, P.; Sbordone, C.
8
2011
Asymptotic limits for perturbed functionals of calculus of variations. Zbl 0453.49007
Attouch, H.; Sbordone, C.
8
1980
Maximal functions and related weight classes. Zbl 0821.42013
Sbordone, Carlo; Wik, Ingemar
8
1994
On some integral inequalities and their applications to the calculus of variations. Zbl 0678.49008
Sbordone, Carlo
8
1986
Anisotropic Sobolev homeomorphisms. Zbl 1239.26010
Di Gironimo, Patrizia; D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta
7
2011
New estimates for div-curl products and very weak solutions of PDEs. Zbl 1073.35515
Sbordone, Carlo
7
1997
BMO-type seminorms and Sobolev functions. Zbl 1410.46021
Fusco, Nicola; Moscariello, Gioconda; Sbordone, Carlo
7
2018
On G-compactness of the Beltrami operators. Zbl 1320.30080
Iwaniec, T.; Giannetti, F.; Moscariello, G.; Sbordone, C.; Kovalev, L.
7
2005
\(L^p\)-integrability & weak type \(L^{2}\)-estimates for the gradient of harmonic mappings of \(\mathbb D\). Zbl 1168.31001
Iwaniec, Tadeusz; Martin, Gaven; Sbordone, Carlo
7
2009
A formula for the total variation of SBV functions. Zbl 1332.26018
Fusco, N.; Moscariello, G.; Sbordone, C.
7
2016
Sulla G-convergenza di equazioni ellittiche e paraboliche. Zbl 0348.35007
Sbordone, Carlo
6
1975
A note on planar homeomorphisms. Zbl 1210.30007
Greco, Luigi; Sbordone, Carlo; Trombetti, Cristina
6
2008
\(A_\infty\) as a limit case of reverse-Hölder inequalities when the exponent tends to 1. Zbl 0920.26017
Moscariello, Gioconda; Sbordone, Carlo
6
1995
\(G\)-closed classes of elliptic operators in the complex plane. Zbl 1139.30311
Bojarski, Bogdan; D’Onofrio, Luigi; Iwaniec, Tadeusz; Sbordone, Carlo
6
2005
Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Zbl 1353.35164
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
6
2016
Sur quelques questions de G-convergence et d’homogeneisation non linéaire. Zbl 0353.49015
Marcellini, Paolo; Sbordone, Carlo
5
1977
Duality and distance formulas in Banach function spaces. Zbl 1434.46005
D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta
5
2019
Gradient regularity for solutions to quasilinear elliptic equations in the plane. Zbl 1306.35040
De Cave, Linda Maria; Sbordone, Carlo
4
2014
Variable exponents and grand Lebesgue spaces: some optimal results. Zbl 1351.46024
Fiorenza, Alberto; Rakotoson, Jean Michel; Sbordone, Carlo
4
2015
Sharp interactions among \(A_\infty\)-weights on the real line. Zbl 1331.26013
Popoli, Arturo; Sbordone, Carlo; Zecca, Gabriella
4
2015
Composition of bi-Sobolev homeomorphisms. Zbl 1272.30038
Greco, Luigi; Sbordone, Carlo; Schiattarella, Roberta
4
2012
Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces. Zbl 1443.46005
D’Onofrio, Luigi; Greco, Luigi; Perfekt, Karl-Mikael; Sbordone, Carlo; Schiattarella, Roberta
4
2020
Sur une limite d’intégrales polynomiales du calcul des variations. Zbl 0307.49012
Sbordone, Carlo
3
1977
A note on \(W^{1,1}_{\text{loc}}\) planar homeomorphisms. Zbl 1234.30016
Greco, L.; Sbordone, C.; Trombetti, C.
3
2006
Optimal \(L^p\)-properties of Green’s functions for non-divergence elliptic equations in two dimensions. Zbl 1154.35331
Moscariello, Gioconda; Sbordone, Carlo
3
2005
Regularity points of ACL-homeomorphisms in the plane. Zbl 1321.26026
Farroni, Fernando; Giova, Raffaella; Sbordone, Carlo
3
2013
On the approximate differentiability of inverse maps. Zbl 1326.47073
D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta
3
2014
On the modulus of continuity of solutions to the \(n\)-Laplace equation. Zbl 1378.35112
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
3
2015
Su una caratterizzazione degli operatori differenziali del \(2^O\) ordine. Zbl 0303.35010
Sbordone, Carlo
2
1974
Higher integrability of the gradient of minima of certain functionals. Zbl 1145.49300
Fusco, Nicola; Sbordone, Carlo
2
1989
Fractional integrals and \(A_p\)-weights: a sharp estimate. Zbl 1180.26001
Alberico, Teresa; Cianchi, Andrea; Sbordone, Carlo
2
2009
Critical points for Sobolev homeomorphisms. Zbl 1220.30034
Sbordone, Carlo; Schiattarella, Roberta
2
2011
Maximal inequalities and applications to regularity problems in the calculus of variations. Zbl 0835.35046
Sbordone, C.
2
1995
On the \(\Gamma\)-convergence of matrix fields related to the adjugate Jacobian. Zbl 1045.35016
Sbordone, Carlo
2
2003
Relaxation of non convex variational problems. Zbl 0408.49017
Marcellini, Paolo; Sbordone, Carlo
2
1977
New and old function spaces in the theory of PDEs and nonlinear analysis. Zbl 1061.46027
Iwaniec, Tadeusz; Sbordone, Carlo
2
2004
Sharp upper bounds for the degree of regularity of the solutions to an elliptic equation. Zbl 1019.35021
Greco, Luigi; Sbordone, Carlo
2
2002
Explicit bounds for composition operators preserving \(\mathrm{BMO}(\mathbb R)\). Zbl 1140.46012
Alberico, Teresa; Corporente, Rossella; Sbordone, Carlo
2
2007
The precise \(L^p\)-theory of elliptic equations in the plane. Zbl 1147.35024
Sbordone, Carlo
2
2005
Higher integrability from reverse Jensen inequalities with different supports. Zbl 0691.49009
Fusco, Nicola; Sbordone, Carlo
2
1989
Rearrangement of functions and reverse Jensen inequalities. Zbl 0593.42010
Sbordone, Carlo
2
1986
Renato Caccioppoli, a hundred years from his birth. Zbl 1192.01026
Sbordone, Carlo
1
2004
Bisobolev mappings and the Beltrami equation in the plane. Zbl 1210.30017
Moscariello, G.; Passarelli di Napoli, A.; Sbordone, C.
1
2008
Div-curl fields of finite distortion. Zbl 0916.30015
Iwaniec, Tadeusz; Sbordone, Carlo
1
1998
Very weak minimizers of integrals of the calculus of variations. Zbl 0819.35037
Sbordone, C.
1
1994
Un teorema di compattezza per la \(\Gamma\)-convergenza di funzionali non coercitivi. Zbl 0392.49009
Carbone, Luciano; Sbordone, Carlo
1
1977
On the \(G\)-convergence of Morrey operators. Zbl 1105.35030
Sbordone, Carlo; Formica, Maria Rosaria
1
2003
Bi-Sobolev mappings and \(K_{p}\)-distortions in the plane. Zbl 1376.30042
Carozza, M.; Giannetti, F.; Passarelli di Napoli, A.; Sbordone, C.; Schiattarella, R.
1
2018
Elliptic equations with right hand side in \(L (\log L)^\alpha\). Zbl 1162.35354
Passarelli di Napoli, Antonia; Sbordone, Carlo
1
1995
Rearrangement of functions and reverse Hölder inequalities. Zbl 0574.42016
Sbordone, C.
1
1985
Higher integrability from reverse integral inequalities. Zbl 0593.42009
Sbordone, Carlo
1
1983
Measurability properties of a homeomorphism under minimal integrability conditions on the gradient. Zbl 1280.30010
D’Onofrio, L.; Sbordone, C.; Schiattarella, R.
1
2012
Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces. Zbl 1443.46005
D’Onofrio, Luigi; Greco, Luigi; Perfekt, Karl-Mikael; Sbordone, Carlo; Schiattarella, Roberta
4
2020
Duality and distance formulas in Banach function spaces. Zbl 1434.46005
D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta
5
2019
BMO-type seminorms and Sobolev functions. Zbl 1410.46021
Fusco, Nicola; Moscariello, Gioconda; Sbordone, Carlo
7
2018
Bi-Sobolev mappings and \(K_{p}\)-distortions in the plane. Zbl 1376.30042
Carozza, M.; Giannetti, F.; Passarelli di Napoli, A.; Sbordone, C.; Schiattarella, R.
1
2018
Continuity properties of solutions to the \(p\)-Laplace system. Zbl 1378.35145
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
9
2017
A formula for the total variation of SBV functions. Zbl 1332.26018
Fusco, N.; Moscariello, G.; Sbordone, C.
7
2016
Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Zbl 1353.35164
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
6
2016
Variable exponents and grand Lebesgue spaces: some optimal results. Zbl 1351.46024
Fiorenza, Alberto; Rakotoson, Jean Michel; Sbordone, Carlo
4
2015
Sharp interactions among \(A_\infty\)-weights on the real line. Zbl 1331.26013
Popoli, Arturo; Sbordone, Carlo; Zecca, Gabriella
4
2015
On the modulus of continuity of solutions to the \(n\)-Laplace equation. Zbl 1378.35112
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
3
2015
Gradient regularity for solutions to quasilinear elliptic equations in the plane. Zbl 1306.35040
De Cave, Linda Maria; Sbordone, Carlo
4
2014
On the approximate differentiability of inverse maps. Zbl 1326.47073
D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta
3
2014
Grand Sobolev spaces and their applications in geometric function theory and PDEs. Zbl 1292.46021
D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta
16
2013
Regularity points of ACL-homeomorphisms in the plane. Zbl 1321.26026
Farroni, Fernando; Giova, Raffaella; Sbordone, Carlo
3
2013
Composition of bi-Sobolev homeomorphisms. Zbl 1272.30038
Greco, Luigi; Sbordone, Carlo; Schiattarella, Roberta
4
2012
Measurability properties of a homeomorphism under minimal integrability conditions on the gradient. Zbl 1280.30010
D’Onofrio, L.; Sbordone, C.; Schiattarella, R.
1
2012
Planar quasilinear elliptic equations with right-hand side in \(L(\log L)^{\delta}\). Zbl 1236.35064
Alberico, Angela; Alberico, Teresa; Sbordone, Carlo
9
2011
On the continuity of solutions to degenerate elliptic equations. Zbl 1213.35231
Cruz-Uribe, D.; Di Gironimo, P.; Sbordone, C.
8
2011
Anisotropic Sobolev homeomorphisms. Zbl 1239.26010
Di Gironimo, Patrizia; D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta
7
2011
Critical points for Sobolev homeomorphisms. Zbl 1220.30034
Sbordone, Carlo; Schiattarella, Roberta
2
2011
Bi-Sobolev mappings and elliptic equations in the plane. Zbl 1169.30007
Hencl, S.; Moscariello, G.; Passarelli di Napoli, Antonia; Sbordone, C.
24
2009
The \(L^p\)-solvability of the Dirichlet problem for planar elliptic equations, sharp results. Zbl 1183.35105
Sbordone, Carlo; Zecca, Gabriella
10
2009
\(L^p\)-integrability & weak type \(L^{2}\)-estimates for the gradient of harmonic mappings of \(\mathbb D\). Zbl 1168.31001
Iwaniec, Tadeusz; Martin, Gaven; Sbordone, Carlo
7
2009
Fractional integrals and \(A_p\)-weights: a sharp estimate. Zbl 1180.26001
Alberico, Teresa; Cianchi, Andrea; Sbordone, Carlo
2
2009
The limit of \(W^{1,1}\) homeomorphisms with finite distortion. Zbl 1157.30016
Fusco, N.; Moscariello, G.; Sbordone, C.
18
2008
A note on planar homeomorphisms. Zbl 1210.30007
Greco, Luigi; Sbordone, Carlo; Trombetti, Cristina
6
2008
Bisobolev mappings and the Beltrami equation in the plane. Zbl 1210.30017
Moscariello, G.; Passarelli di Napoli, A.; Sbordone, C.
1
2008
Quasiminimizers in one dimension: integrability of the derivate, inverse function and obstacle problems. Zbl 1150.49016
Martio, O.; Sbordone, Carlo
11
2007
Explicit bounds for composition operators preserving \(\mathrm{BMO}(\mathbb R)\). Zbl 1140.46012
Alberico, Teresa; Corporente, Rossella; Sbordone, Carlo
2
2007
A note on \(W^{1,1}_{\text{loc}}\) planar homeomorphisms. Zbl 1234.30016
Greco, L.; Sbordone, C.; Trombetti, C.
3
2006
On G-compactness of the Beltrami operators. Zbl 1320.30080
Iwaniec, T.; Giannetti, F.; Moscariello, G.; Sbordone, C.; Kovalev, L.
7
2005
\(G\)-closed classes of elliptic operators in the complex plane. Zbl 1139.30311
Bojarski, Bogdan; D’Onofrio, Luigi; Iwaniec, Tadeusz; Sbordone, Carlo
6
2005
Optimal \(L^p\)-properties of Green’s functions for non-divergence elliptic equations in two dimensions. Zbl 1154.35331
Moscariello, Gioconda; Sbordone, Carlo
3
2005
The precise \(L^p\)-theory of elliptic equations in the plane. Zbl 1147.35024
Sbordone, Carlo
2
2005
New and old function spaces in the theory of PDEs and nonlinear analysis. Zbl 1061.46027
Iwaniec, Tadeusz; Sbordone, Carlo
2
2004
Renato Caccioppoli, a hundred years from his birth. Zbl 1192.01026
Sbordone, Carlo
1
2004
Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. Zbl 1047.30010
Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C.
17
2003
Caccioppoli estimates and very weak solutions of elliptic equations. Zbl 1225.35069
Iwaniec, Tadeusz; Sbordone, Carlo
10
2003
On the \(\Gamma\)-convergence of matrix fields related to the adjugate Jacobian. Zbl 1045.35016
Sbordone, Carlo
2
2003
On the \(G\)-convergence of Morrey operators. Zbl 1105.35030
Sbordone, Carlo; Formica, Maria Rosaria
1
2003
Sharp upper bounds for the degree of regularity of the solutions to an elliptic equation. Zbl 1019.35021
Greco, Luigi; Sbordone, Carlo
2
2002
Quasiharmonic fields. Zbl 1068.30011
Iwaniec, Tadeusz; Sbordone, Carlo
45
2001
Existence and uniqueness results for solutions of nonlinear equations with right hand side in \(L^1\). Zbl 0891.35039
Fiorenza, A.; Sbordone, C.
62
1998
Riesz transforms and elliptic PDEs with VMO coefficients. Zbl 0909.35039
Iwaniec, T.; Sbordone, C.
53
1998
Nonlinear elliptic equations with right hand side in nonstandard spaces. Zbl 0913.35050
Sbordone, Carlo
10
1998
Div-curl fields of finite distortion. Zbl 0916.30015
Iwaniec, Tadeusz; Sbordone, Carlo
1
1998
Inverting the \(p\)-harmonic operator. Zbl 0869.35037
Greco, Luigi; Iwaniec, Tadeusz; Sbordone, Carlo
117
1997
The distance to \(L^{\infty }\) in some function spaces and applications. Zbl 0889.35027
Carozza, M.; Sbordone, C.
29
1997
Variational integrals of nearly linear growth. Zbl 0889.35026
Greco, L.; Iwaniec, T.; Sbordone, C.
11
1997
New estimates for div-curl products and very weak solutions of PDEs. Zbl 1073.35515
Sbordone, Carlo
7
1997
Sobolev imbedding theorems in borderline cases. Zbl 0841.46023
Fusco, Nicola; Lions, Pierre Louis; Sbordone, Carlo
54
1996
Grand Sobolev spaces and their application to variational problems. Zbl 0915.46030
Sbordone, Carlo
22
1996
Weak lower semicontinuity of polyconvex integrals: A borderline case. Zbl 0822.49010
Dal Maso, G.; Sbordone, C.
24
1995
Degree formulas for maps with nonintegrable Jacobian. Zbl 0854.58005
Greco, Luigi; Iwaniec, Tadeusz; Sbordone, Carlo; Stroffolini, Bianca
9
1995
\(A_\infty\) as a limit case of reverse-Hölder inequalities when the exponent tends to 1. Zbl 0920.26017
Moscariello, Gioconda; Sbordone, Carlo
6
1995
Maximal inequalities and applications to regularity problems in the calculus of variations. Zbl 0835.35046
Sbordone, C.
2
1995
Elliptic equations with right hand side in \(L (\log L)^\alpha\). Zbl 1162.35354
Passarelli di Napoli, Antonia; Sbordone, Carlo
1
1995
Weak minima of variational integrals. Zbl 0802.35016
Iwaniec, T.; Sbordone, C.
122
1994
Integrability and removability results for quasiregular mappings in high dimensions. Zbl 0824.30009
Iwaniec, T.; Migliaccio, L.; Nania, L.; Sbordone, C.
13
1994
Maximal functions and related weight classes. Zbl 0821.42013
Sbordone, Carlo; Wik, Ingemar
8
1994
Very weak minimizers of integrals of the calculus of variations. Zbl 0819.35037
Sbordone, C.
1
1994
Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025
Fusco, Nicola; Sbordone, Carlo
74
1993
Integrability for the Jacobian of orientation preserving mappings. Zbl 0847.26012
Brézis, Haïm; Fusco, Nicola; Sbordone, Carlo
28
1993
On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016
Iwaniec, Tadeusz; Sbordone, Carlo
185
1992
The Muckenhoupt class \(A_ 1(\mathbb{R})\). Zbl 0808.42010
Bojarski, B.; Sbordone, C.; Wik, I.
20
1992
Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions. Zbl 0727.49021
Fusco, Nicola; Sbordone, Carlo
57
1990
L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058
Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo
42
1990
Local boundedness of minimizers in a limit case. Zbl 0722.49012
Fusco, Nicola; Sbordone, Carlo
36
1990
Reverse Hölder inequalities. A sharp result. Zbl 0711.42027
D’Apuzzo, L.; Sbordone, C.
13
1990
Higher integrability of the gradient of minima of certain functionals. Zbl 1145.49300
Fusco, Nicola; Sbordone, Carlo
2
1989
Higher integrability from reverse Jensen inequalities with different supports. Zbl 0691.49009
Fusco, Nicola; Sbordone, Carlo
2
1989
On some integral inequalities and their applications to the calculus of variations. Zbl 0678.49008
Sbordone, Carlo
8
1986
Rearrangement of functions and reverse Jensen inequalities. Zbl 0593.42010
Sbordone, Carlo
2
1986
Rearrangement of functions and reverse Hölder inequalities. Zbl 0574.42016
Sbordone, C.
1
1985
On the existence of minima of multiple integrals of the calculus of variations. Zbl 0516.49011
Marcellini, Paolo; Sbordone, Carlo
19
1983
Higher integrability from reverse integral inequalities. Zbl 0593.42009
Sbordone, Carlo
1
1983
Semicontinuity problems in the calculus of variations. Zbl 0537.49002
Marcellini, Paolo; Sbordone, Carlo
48
1980
Asymptotic limits for perturbed functionals of calculus of variations. Zbl 0453.49007
Attouch, H.; Sbordone, C.
8
1980
Some properties of Gamma-limits of integral functionals. Zbl 0474.49016
Carbone, Luciano; Sbordone, Carlo
76
1979
Homogenization of non-uniformly elliptic operators. Zbl 0406.35014
Marcellini, Paolo; Sbordone, Carlo
27
1978
An approach to the asymptotic behaviour of elliptic-parabolic operators. Zbl 0319.35013
Marcellini, Paolo; Sbordone, Carlo
16
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
Sur une limite d’intégrales polynomiales du calcul des variations. Zbl 0307.49012
Sbordone, Carlo
3
1977
Relaxation of non convex variational problems. Zbl 0408.49017
Marcellini, Paolo; Sbordone, Carlo
2
1977
Un teorema di compattezza per la \(\Gamma\)-convergenza di funzionali non coercitivi. Zbl 0392.49009
Carbone, Luciano; Sbordone, Carlo
1
1977
\(\Gamma^-\) convergenza e \(G\)-convergenza per problemi non lineari di tipo ellittico. Zbl 0345.49004
Ambrosetti, Antonio; Sbordone, Carlo
15
1976
Su alcune applicazioni di un tipo di convergenza variazionale. Zbl 0317.49012
Sbordone, Carlo
19
1975
Sulla G-convergenza di equazioni ellittiche e paraboliche. Zbl 0348.35007
Sbordone, Carlo
6
1975
Alcune questioni di convergenza per operatori differenziali del \(2^\circ\) ordine. Zbl 0308.35033
Sbordone, Carlo
11
1974
Su una caratterizzazione degli operatori differenziali del \(2^O\) ordine. Zbl 0303.35010
Sbordone, Carlo
2
1974
all top 5

Cited by 720 Authors

37 Sbordone, Carlo
27 Fiorenza, Alberto
27 Kokilashvili, Vakhtang Mikhailovich
24 Meskhi, Alexander
23 Leonetti, Francesco
23 Passarelli di Napoli, Antonia
21 Iwaniec, Tadeusz
21 Marcellini, Paolo
21 Mingione, Giuseppe
20 Moscariello, Gioconda
20 Schiattarella, Roberta
19 Cianchi, Andrea
17 Fusco, Nicola
16 D’Onofrio, Luigi
16 Giova, Raffaella
15 Koskela, Pekka
14 Alberico, Angela
14 Greco, Luigi
14 Mascolo, Elvira
13 Černý, Robert
13 De Arcangelis, Riccardo
13 Farroni, Fernando
13 Fonseca, Irene
12 Carozza, Menita
12 Dal Maso, Gianni
12 Gao, Hongya
11 Formica, Maria Rosaria
11 Giannetti, Flavia
11 Zecca, Gabriella
10 Boccardo, Lucio
10 Buttazzo, Giuseppe
10 Hencl, Stanislav
10 Ryazanov, Vladimir Il’ich
9 Briane, Marc
9 Malý, Jan
9 Onninen, Jani
9 Rakotoson, Jean-Michel
9 Umarkhadzhiev, Salaudin Musaevich
8 Capone, Claudia
8 Cruz-Uribe, David Vincente
8 Cupini, Giovanni
8 Rafeiro, Humberto
8 Skrypnik, Igor Igorievich
7 Acerbi, Emilio
7 Casado-Díaz, Juan
7 Kristensen, Jan
7 Pick, Luboš
7 Singh, Monika
7 Verde, Anna
6 Chiadò Piat, Valeria
6 Chlebicka, Iwona
6 Clop, Albert
6 Edmunds, David Eric
6 Fuchs, Martin
6 Jain, Pankaj
6 Petricca, Pier Vincenzo
6 Radice, Teresa
6 Rădulescu, Vicenţiu D.
6 Yan, Baisheng
5 Anatriello, Giuseppina
5 Baroni, Paolo
5 Bildhauer, Michael
5 Björn, Jana
5 Bui, The Anh
5 Carbone, Luciano
5 Dacorogna, Bernard
5 Di Blasio, Giuseppina
5 Ding, Shusen
5 Faraco, Daniel
5 Feo, Filomena
5 Gogatishvili, Amiran
5 Leoni, Giovanni
5 Mercaldo, Anna
5 Milman, Mario Marcos
5 Murat, François
5 Papageorgiou, Nikolaos S.
5 Pastukhova, Svetlana Evgenievna
5 Popoli, Arturo
5 Singh, Arun Pal
5 Visintin, Augusto
5 Zhong, Xiao
4 Alves, Claudianor Oliveira
4 Amar, Micol
4 Astala, Kari
4 Björn, Anders
4 Bouchitté, Guy
4 Byun, Sun-Sig
4 Corbo Esposito, Antonio
4 di Castro, Agnese
4 Di Fratta, Giovanni
4 Di Gironimo, Patrizia
4 Fernández-Martínez, Pedro
4 Focardi, Matteo
4 Giachetti, Daniela
4 Gutlyanskiĭ, Vladimir Ya.
4 Kovalev, Leonid V.
4 Martin, Gaven J.
4 Maz’ya, Vladimir Gilelevich
4 Müller, Stefan
4 Nguyen Cong Phuc
...and 620 more Authors
all top 5

Cited in 178 Serials

77 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
49 Journal of Mathematical Analysis and Applications
39 Annali di Matematica Pura ed Applicata. Serie Quarta
36 Calculus of Variations and Partial Differential Equations
31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
23 Journal of Differential Equations
22 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
21 Journal of Functional Analysis
21 Manuscripta Mathematica
18 Journal of Mathematical Sciences (New York)
17 Nonlinear Analysis. Theory, Methods & Applications
15 Archive for Rational Mechanics and Analysis
13 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Ricerche di Matematica
12 Communications in Partial Differential Equations
12 NoDEA. Nonlinear Differential Equations and Applications
11 Mathematical Notes
11 The Journal of Geometric Analysis
11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
10 Advances in Mathematics
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
10 Proceedings of the American Mathematical Society
10 Journal of Elliptic and Parabolic Equations
9 Journal d’Analyse Mathématique
9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
9 Journal of Inequalities and Applications
9 Communications in Contemporary Mathematics
8 Transactions of the American Mathematical Society
8 Potential Analysis
8 Mediterranean Journal of Mathematics
7 Revista Matemática Iberoamericana
7 Advances in Calculus of Variations
6 Applicable Analysis
6 Arkiv för Matematik
6 Journal of Optimization Theory and Applications
6 Zeitschrift für Analysis und ihre Anwendungen
6 St. Petersburg Mathematical Journal
6 Complex Variables and Elliptic Equations
6 Transactions of A. Razmadze Mathematical Institute
5 Studia Mathematica
5 Czechoslovak Mathematical Journal
5 Mathematische Nachrichten
5 Siberian Mathematical Journal
5 Georgian Mathematical Journal
5 Annales Academiae Scientiarum Fennicae. Mathematica
5 Acta Mathematica Sinica. English Series
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Fixed Point Theory and Applications
5 Advances in Nonlinear Analysis
4 Israel Journal of Mathematics
4 The Journal of Fourier Analysis and Applications
4 Fractional Calculus & Applied Analysis
4 Revista Matemática Complutense
4 Journal of Function Spaces and Applications
3 Ukrainian Mathematical Journal
3 Mathematische Zeitschrift
3 Rendiconti del Seminario Matematico della Università di Padova
3 Results in Mathematics
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Russian Mathematics
3 Computational Methods and Function Theory
3 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Discrete and Continuous Dynamical Systems. Series S
3 Journal of Function Spaces
2 Lithuanian Mathematical Journal
2 Nonlinearity
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Applied Mathematics and Optimization
2 Archiv der Mathematik
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Approximation Theory
2 Mathematische Annalen
2 Numerische Mathematik
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 Acta Applicandae Mathematicae
2 Acta Mathematicae Applicatae Sinica. English Series
2 Applied Mathematics Letters
2 Applications of Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Journal on Mathematical Analysis
2 Applied Mathematics. Series B (English Edition)
2 Electronic Journal of Differential Equations (EJDE)
2 Turkish Journal of Mathematics
2 Journal of Convex Analysis
2 Discrete and Continuous Dynamical Systems
2 Doklady Mathematics
2 Abstract and Applied Analysis
2 Positivity
2 Central European Journal of Mathematics
2 Boundary Value Problems
2 Proceedings of the Steklov Institute of Mathematics
2 Complex Analysis and Operator Theory
2 Frontiers of Mathematics in China
2 Journal of Mathematical Inequalities
2 Banach Journal of Mathematical Analysis
2 Differential Equations and Applications
...and 78 more Serials
all top 5

Cited in 47 Fields

395 Partial differential equations (35-XX)
269 Calculus of variations and optimal control; optimization (49-XX)
252 Functional analysis (46-XX)
127 Harmonic analysis on Euclidean spaces (42-XX)
115 Real functions (26-XX)
87 Functions of a complex variable (30-XX)
62 Operator theory (47-XX)
47 Mechanics of deformable solids (74-XX)
39 Potential theory (31-XX)
26 Global analysis, analysis on manifolds (58-XX)
16 General topology (54-XX)
13 Measure and integration (28-XX)
12 Probability theory and stochastic processes (60-XX)
10 Approximations and expansions (41-XX)
9 Ordinary differential equations (34-XX)
8 Integral equations (45-XX)
7 History and biography (01-XX)
5 Abstract harmonic analysis (43-XX)
5 Convex and discrete geometry (52-XX)
5 Fluid mechanics (76-XX)
4 Sequences, series, summability (40-XX)
4 Numerical analysis (65-XX)
4 Optics, electromagnetic theory (78-XX)
2 General and overarching topics; collections (00-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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