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## Cianchi, Andrea

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 Author ID: cianchi.andrea Published as: Cianchi, A.; Cianchi, Andrea External Links: Wikidata · ORCID
 Documents Indexed: 128 Publications since 1989
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#### Co-Authors

 42 single-authored 17 Pick, Luboš 16 Maz’ya, Vladimir Gilelevich 13 Alberico, Angela 11 Fusco, Nicola 9 Slavíková, Lenka 6 Ferone, Adele 4 Breit, Dominic 4 Sbordone, Carlo 3 Carozza, Menita 3 Diening, Lars 3 Schwarzacher, Sebastian 3 Trombetti, Cristina 2 Barletta, Giuseppina 2 Cavaliere, Paola 2 Edmunds, David Eric 2 Ferone, Vincenzo 2 Kerman, Ron 2 Kuusi, Tuomo 2 Lutwak, Erwin 2 Maggi, Francesco 2 Musil, Vít 2 Nitsch, Carlo 2 Pratelli, Aldo 2 Randolfi, Monia 2 Yang, Deane 2 Zhang, Gaoyong 1 Alberico, Teresa 1 Alvino, Angelo 1 Černý, Robert 1 Chlebicka, Iwona 1 Chlebík, Miroslav 1 Esposito, Luca 1 Esteban, Maria J. 1 Gurka, Petr 1 Hencl, Stanislav 1 Ioku, Norisuke 1 Kawohl, Bernd 1 Mercaldo, Anna 1 Opic, Bohumír 1 Salani, Paolo 1 Schianchi, Rosanna 1 Stroffolini, Bianca 1 Zatorska-Goldstein, Anna
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#### Serials

 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Indiana University Mathematics Journal 5 Journal of Functional Analysis 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Advances in Mathematics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Analysis and Applications 3 Journal für die Reine und Angewandte Mathematik 3 Transactions of the American Mathematical Society 3 The Journal of Geometric Analysis 3 Communications in Partial Differential Equations 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Calculus of Variations and Partial Differential Equations 3 Communications on Pure and Applied Analysis 2 Applicable Analysis 2 Journal d’Analyse Mathématique 2 Arkiv för Matematik 2 American Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Differential Equations 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Ricerche di Matematica 2 SIAM Journal on Mathematical Analysis 2 Bollettino della Unione Matemàtica Italiana. Serie VII. B 2 Potential Analysis 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Journal of the European Mathematical Society (JEMS) 2 Advances in Calculus of Variations 1 IEEE Transactions on Information Theory 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Manuscripta Mathematica 1 Le Matematiche 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Differential and Integral Equations 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations
all top 5

#### Fields

 86 Functional analysis (46-XX) 46 Partial differential equations (35-XX) 28 Real functions (26-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Measure and integration (28-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Convex and discrete geometry (52-XX) 4 Operator theory (47-XX) 4 Differential geometry (53-XX) 2 Potential theory (31-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

106 Publications have been cited 1,684 times in 892 Documents Cited by Year
A sharp embedding theorem for Orlicz-Sobolev spaces. Zbl 0860.46022
Cianchi, Andrea
1996
Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2009
Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065
2011
Global boundedness of the gradient for a class of nonlinear elliptic systems. Zbl 1298.35070
2014
Overdetermined anisotropic elliptic problems. Zbl 1179.35107
Cianchi, Andrea; Salani, Paolo
2009
Sobolev embeddings into BMO, VMO, and $$L_{\infty}$$. Zbl 1035.46502
Cianchi, Andrea; Pick, Luboš
1998
The sharp Sobolev inequality in quantitative form. Zbl 1185.46025
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
2009
Optimal Orlicz-Sobolev embeddings. Zbl 1061.46031
Cianchi, Andrea
2004
On the isoperimetric deficit in Gauss space. Zbl 1219.28005
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
2011
Boundedness of solutions to variational problems under general growth conditions. Zbl 0892.35048
Cianchi, Andrea
1997
Gradient regularity via rearrangements for $$p$$-Laplacian type elliptic boundary value problems. Zbl 1288.35128
2014
Strong and weak type inequalities for some classical operators in Orlicz spaces. Zbl 0940.46015
Cianchi, Andrea
1999
Functions of bounded variation and rearrangements. Zbl 1028.49035
Cianchi, Andrea; Fusco, Nicola
2002
A fully anisotropic Sobolev inequality. Zbl 0966.46017
Cianchi, Andrea
2000
The perimeter inequality under Steiner symmetrization: cases of equality. Zbl 1087.28003
Chlebík, Miroslav; Cianchi, Andrea; Fusco, Nicola
2005
Moser–Trudinger inequalities without boundary conditions and isoperimetric problems. Zbl 1097.46016
Cianchi, Andrea
2005
Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems. Zbl 0877.46023
Cianchi, Andrea
1996
Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs. Zbl 1272.46023
Černý, Robert; Cianchi, Andrea; Hencl, Stanislav
2013
Symmetrization in anisotropic elliptic problems. Zbl 1219.35028
Cianchi, Andrea
2007
Local boundedness of minimizers of anisotropic functionals. Zbl 0984.49019
Cianchi, Andrea
2000
Gradient regularity for minimizers under general growth conditions. Zbl 0913.49024
Cianchi, Andrea; Fusco, Nicola
1999
Steiner symmetric extremals in Pólya-Szegő-type inequalities. Zbl 1110.46021
Cianchi, Andrea; Fusco, Nicola
2006
Hardy inequalities in Orlicz spaces. Zbl 0920.46021
Cianchi, Andrea
1999
Symmetrization and second-order Sobolev inequalities. Zbl 1223.46033
Cianchi, Andrea
2004
Moser–Trudinger trace inequalities. Zbl 1138.46020
Cianchi, Andrea
2008
Maximizing the $$L^ \infty{}$$ norm of the gradient of solutions to the Poisson equation. Zbl 0780.35009
Cianchi, Andrea
1992
On relative isoperimetric inequalities in the plane. Zbl 0674.49030
Cianchi, Andrea
1989
Some results in the theory of Orlicz spaces and applications to variational problems. Zbl 0965.46017
Cianchi, Andrea
1999
Higher-order Sobolev embeddings and isoperimetric inequalities. Zbl 1334.46027
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2015
Korn type inequalities in Orlicz spaces. Zbl 1312.46037
Cianchi, Andrea
2014
Well-posed elliptic Neumann problems involving irregular data and domains. Zbl 1200.35105
Alvino, Angelo; Cianchi, Andrea; Maz’ya, Vladimir G.; Mercaldo, Anna
2010
Global gradient estimates in elliptic problems under minimal data and domain regularity. Zbl 1325.35027
2015
Orlicz-Sobolev boundary trace embeddings. Zbl 1208.46028
Cianchi, Andrea
2010
Hardy inequalities with non-standard remainder terms. Zbl 1153.26310
2008
Quasilinear elliptic problems with general growth and merely integrable, or measure, data. Zbl 1373.35113
2017
Nonlinear potentials, local solutions to elliptic equations and rearrangements. Zbl 1235.31009
Cianchi, Andrea
2011
A quantitative Pólya-Szegő principle. Zbl 1175.46021
Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina
2008
A quantitative Sobolev inequality in BV. Zbl 1110.46020
Cianchi, Andrea
2006
Optimal Gaussian Sobolev embeddings. Zbl 1203.46019
Cianchi, Andrea; Pick, Luboš
2009
Higher-order Sobolev and Poincaré inequalities in Orlicz spaces. Zbl 1120.46015
Cianchi, Andrea
2006
Differentiability properties of Orlicz-Sobolev functions. Zbl 1119.46030
Alberico, Angela; Cianchi, Andrea
2005
A sharp form of Poincaré type inequalities on balls and spheres. Zbl 0707.53034
Cianchi, Andrea
1989
Dirichlet problems for fully anisotropic elliptic equations. Zbl 1388.35043
Barletta, Giuseppina; Cianchi, Andrea
2017
Comparison estimates in anisotropic variational problems. Zbl 1357.49137
Alberico, Angela; Cianchi, Andrea
2008
Sharp Morrey–Sobolev inequalities and the distance from extremals. Zbl 1153.46019
Cianchi, Andrea
2008
A sharp rearrangement inequality for the fractional maximal operator. Zbl 0968.42014
Cianchi, A.; Kerman, R.; Opic, B.; Pick, L.
2000
On weighted Poincaré inequalities. Zbl 0858.26009
Cianchi, Andrea; Edmunds, David E.; Gurka, Petr
1996
Second-order two-sided estimates in nonlinear elliptic problems. Zbl 1398.35078
2018
Second-order derivatives and rearrangements. Zbl 1017.46023
Cianchi, Andrea
2000
Pointwise Calderón-Zygmund gradient estimates for the $$p$$-Laplace system. Zbl 1390.35101
Breit, Dominic; Cianchi, Andrea; Diening, Lars; Kuusi, Tuomo; Schwarzacher, Sebastian
2018
The $$p$$-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates. Zbl 1370.35064
Breit, D.; Cianchi, A.; Diening, L.; Kuusi, T.; Schwarzacher, S.
2017
Neumann problems and isocapacitary inequalities. Zbl 1146.35041
2008
An optimal interpolation theorem of Marcinkiewicz type in Orlicz spaces. Zbl 0913.46028
Cianchi, Andrea
1998
Optimal Sobolev trace embeddings. Zbl 1360.46027
Cianchi, Andrea; Pick, Luboš
2016
Sobolev embeddings into spaces of Campanato, Morrey, and Hölder type. Zbl 1031.46039
Cianchi, Andrea; Pick, Luboš
2003
Continuity properties of solutions to the $$p$$-Laplace system. Zbl 1378.35145
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
2017
Elliptic equations on manifolds and isoperimetric inequalities. Zbl 0709.58037
Cianchi, Andrea
1990
On the modulus of continuity of weakly differentiable functions. Zbl 1268.46026
Cianchi, Andrea; Randolfi, Monia
2011
On some aspects of the theory of Orlicz-Sobolev spaces. Zbl 1194.46042
Cianchi, Andrea
2010
Boundary trace inequalities and rearrangements. Zbl 1169.46013
Cianchi, Andrea; Kerman, Ron; Pick, Luboš
2008
Negative Orlicz-Sobolev norms and strongly nonlinear systems in fluid mechanics. Zbl 1337.46024
Breit, Dominic; Cianchi, Andrea
2015
A sharp trace inequality for functions of bounded variation in the ball. Zbl 1294.46030
Cianchi, Andrea
2012
Trace-free Korn inequalities in Orlicz spaces. Zbl 1380.46028
Breit, D.; Cianchi, A.; Diening, L.
2017
Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Zbl 1353.35164
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
2016
Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds. Zbl 1280.58018
2013
Best remainder norms in Sobolev-Hardy inequalities. Zbl 1177.46021
2009
Minimal rearrangements, strict convexity and critical points. Zbl 1104.46016
Cianchi, Andrea; Fusco, Nicola
2006
Interpolation of operators and the Sobolev embedding theorem on Orlicz spaces. Zbl 1011.46025
Cianchi, Andrea
1998
An extension of Hedberg’s convolution inequality and applications. Zbl 0914.42014
Cianchi, Andrea; Stroffolini, Bianca
1998
Fully anisotropic elliptic problems with minimally integrable data. Zbl 1428.35124
Alberico, Angela; Chlebicka, Iwona; Cianchi, Andrea; Zatorska-Goldstein, Anna
2019
Balls minimize trace constants in BV. Zbl 1373.46025
Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
2017
Classical and approximate Taylor expansions of weakly differentiable functions. Zbl 1309.46013
Cavaliere, Paola; Cianchi, Andrea
2014
Optimal summability of solutions to nonlinear elliptic problems. Zbl 1387.35282
Alberico, Angela; Cianchi, Andrea
2007
Optimal domain spaces in Orlicz-Sobolev embeddings. Zbl 1440.46028
Cianchi, Andrea; Musil, Vit
2019
Sharp Sobolev type embeddings on the entire Euclidean space. Zbl 1405.46024
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2018
Smooth approximation of Orlicz-Sobolev maps between manifolds. Zbl 1362.46037
Carozza, Menita; Cianchi, Andrea
2016
A unified approach to Cramér-Rao inequalities. Zbl 1364.94228
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2014
An optimal endpoint trace embedding. Zbl 1208.46029
Cianchi, Andrea; Pick, Luboš
2010
Dirichlet integrals and Steiner asymmetry. Zbl 1124.46017
Cianchi, Andrea; Fusco, Nicola
2006
On symmetric functionals of the gradient having symmetric equidistributed minimizers. Zbl 1126.46020
2006
Sobolev inequalities in arbitrary domains. Zbl 1346.46022
2016
On the modulus of continuity of solutions to the $$n$$-Laplace equation. Zbl 1378.35112
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
2015
On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds. Zbl 1269.58011
2011
Quantitative Sobolev and Hardy inequalities, and related symmetrization principles. Zbl 1179.26054
Cianchi, Andrea
2009
Orlicz-Sobolev algebras. Zbl 1157.46309
Cianchi, Andrea
2008
Borderline sharp estimates for solutions to Neumann problems. Zbl 1225.35075
Alberico, Angela; Cianchi, Andrea
2007
Strict monotonicity of functionals under Steiner symmetrization. Zbl 1114.49040
Cianchi, Andrea; Fusco, Nicola
2004
Optimal second-order regularity for the $$p$$-Laplace system. Zbl 1437.35404
2019
Potential estimates for the $$p$$-Laplace system with data in divergence form. Zbl 1395.35051
Cianchi, A.; Schwarzacher, S.
2018
Quasilinear elliptic equations on noncompact Riemannian manifolds. Zbl 1382.35110
Barletta, Giuseppina; Cianchi, Andrea; Maz’ya, Vladimir
2017
Canceling effects in higher-order Hardy-Sobolev inequalities. Zbl 1377.46024
Cianchi, Andrea; Ioku, Norisuke
2017
Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions. Zbl 1259.35072
2012
Fractional integrals and $$A_p$$-weights: a sharp estimate. Zbl 1180.26001
Alberico, Teresa; Cianchi, Andrea; Sbordone, Carlo
2009
A strengthened version of the Hardy-Littlewood inequality. Zbl 1155.26017
2008
Rearrangements of functions in Besov spaces. Zbl 1022.46021
Cianchi, Andrea
2001
On fractional integration in weighted Lorentz spaces. Zbl 0998.26009
Cianchi, Andrea; Edmunds, David E.
1997
On the $$L^ q$$ norm of functions having equidistributed gradients. Zbl 0884.49011
Cianchi, Andrea
1996
Breaking of symmetry in Poisson equation. Zbl 0833.35030
Cianchi, Andrea
1994
On the limit as $$s\rightarrow 0^+$$ of fractional Orlicz-Sobolev spaces. Zbl 07296359
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2020
Second-order regularity for parabolic $$p$$-Laplace problems. Zbl 1439.35204
2020
On the limit as $$s\rightarrow 0^+$$ of fractional Orlicz-Sobolev spaces. Zbl 07296359
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2020
Second-order regularity for parabolic $$p$$-Laplace problems. Zbl 1439.35204
2020
Sobolev embeddings in Orlicz and Lorentz spaces with measures. Zbl 1450.46019
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2020
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures. Zbl 1440.46030
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2020
Fully anisotropic elliptic problems with minimally integrable data. Zbl 1428.35124
Alberico, Angela; Chlebicka, Iwona; Cianchi, Andrea; Zatorska-Goldstein, Anna
2019
Optimal domain spaces in Orlicz-Sobolev embeddings. Zbl 1440.46028
Cianchi, Andrea; Musil, Vit
2019
Optimal second-order regularity for the $$p$$-Laplace system. Zbl 1437.35404
2019
Second-order two-sided estimates in nonlinear elliptic problems. Zbl 1398.35078
2018
Pointwise Calderón-Zygmund gradient estimates for the $$p$$-Laplace system. Zbl 1390.35101
Breit, Dominic; Cianchi, Andrea; Diening, Lars; Kuusi, Tuomo; Schwarzacher, Sebastian
2018
Sharp Sobolev type embeddings on the entire Euclidean space. Zbl 1405.46024
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2018
Potential estimates for the $$p$$-Laplace system with data in divergence form. Zbl 1395.35051
Cianchi, A.; Schwarzacher, S.
2018
On the continuity of weakly monotone functions. Zbl 1410.46017
Carozza, Menita; Cianchi, Andrea
2018
Quasilinear elliptic problems with general growth and merely integrable, or measure, data. Zbl 1373.35113
2017
Dirichlet problems for fully anisotropic elliptic equations. Zbl 1388.35043
Barletta, Giuseppina; Cianchi, Andrea
2017
The $$p$$-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates. Zbl 1370.35064
Breit, D.; Cianchi, A.; Diening, L.; Kuusi, T.; Schwarzacher, S.
2017
Continuity properties of solutions to the $$p$$-Laplace system. Zbl 1378.35145
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
2017
Trace-free Korn inequalities in Orlicz spaces. Zbl 1380.46028
Breit, D.; Cianchi, A.; Diening, L.
2017
Balls minimize trace constants in BV. Zbl 1373.46025
Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
2017
Quasilinear elliptic equations on noncompact Riemannian manifolds. Zbl 1382.35110
Barletta, Giuseppina; Cianchi, Andrea; Maz’ya, Vladimir
2017
Canceling effects in higher-order Hardy-Sobolev inequalities. Zbl 1377.46024
Cianchi, Andrea; Ioku, Norisuke
2017
Optimal Sobolev trace embeddings. Zbl 1360.46027
Cianchi, Andrea; Pick, Luboš
2016
Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Zbl 1353.35164
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
2016
Smooth approximation of Orlicz-Sobolev maps between manifolds. Zbl 1362.46037
Carozza, Menita; Cianchi, Andrea
2016
Sobolev inequalities in arbitrary domains. Zbl 1346.46022
2016
Higher-order Sobolev embeddings and isoperimetric inequalities. Zbl 1334.46027
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2015
Global gradient estimates in elliptic problems under minimal data and domain regularity. Zbl 1325.35027
2015
Negative Orlicz-Sobolev norms and strongly nonlinear systems in fluid mechanics. Zbl 1337.46024
Breit, Dominic; Cianchi, Andrea
2015
On the modulus of continuity of solutions to the $$n$$-Laplace equation. Zbl 1378.35112
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
2015
Global boundedness of the gradient for a class of nonlinear elliptic systems. Zbl 1298.35070
2014
Gradient regularity via rearrangements for $$p$$-Laplacian type elliptic boundary value problems. Zbl 1288.35128
2014
Korn type inequalities in Orlicz spaces. Zbl 1312.46037
Cianchi, Andrea
2014
Classical and approximate Taylor expansions of weakly differentiable functions. Zbl 1309.46013
Cavaliere, Paola; Cianchi, Andrea
2014
A unified approach to Cramér-Rao inequalities. Zbl 1364.94228
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2014
Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs. Zbl 1272.46023
Černý, Robert; Cianchi, Andrea; Hencl, Stanislav
2013
Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds. Zbl 1280.58018
2013
A sharp trace inequality for functions of bounded variation in the ball. Zbl 1294.46030
Cianchi, Andrea
2012
Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions. Zbl 1259.35072
2012
Improving sharp Sobolev type inequalities by optimal remainder gradient norms. Zbl 1276.46023
2012
Differentiability properties of functions from higher-order Orlicz-Sobolev spaces. Zbl 1244.46015
Cianchi, Andrea; Randolfi, Monia
2012
Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065
2011
On the isoperimetric deficit in Gauss space. Zbl 1219.28005
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
2011
Nonlinear potentials, local solutions to elliptic equations and rearrangements. Zbl 1235.31009
Cianchi, Andrea
2011
On the modulus of continuity of weakly differentiable functions. Zbl 1268.46026
Cianchi, Andrea; Randolfi, Monia
2011
On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds. Zbl 1269.58011
2011
Well-posed elliptic Neumann problems involving irregular data and domains. Zbl 1200.35105
Alvino, Angelo; Cianchi, Andrea; Maz’ya, Vladimir G.; Mercaldo, Anna
2010
Orlicz-Sobolev boundary trace embeddings. Zbl 1208.46028
Cianchi, Andrea
2010
On some aspects of the theory of Orlicz-Sobolev spaces. Zbl 1194.46042
Cianchi, Andrea
2010
An optimal endpoint trace embedding. Zbl 1208.46029
Cianchi, Andrea; Pick, Luboš
2010
Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2009
Overdetermined anisotropic elliptic problems. Zbl 1179.35107
Cianchi, Andrea; Salani, Paolo
2009
The sharp Sobolev inequality in quantitative form. Zbl 1185.46025
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
2009
Optimal Gaussian Sobolev embeddings. Zbl 1203.46019
Cianchi, Andrea; Pick, Luboš
2009
Best remainder norms in Sobolev-Hardy inequalities. Zbl 1177.46021
2009
Quantitative Sobolev and Hardy inequalities, and related symmetrization principles. Zbl 1179.26054
Cianchi, Andrea
2009
Fractional integrals and $$A_p$$-weights: a sharp estimate. Zbl 1180.26001
Alberico, Teresa; Cianchi, Andrea; Sbordone, Carlo
2009
Moser–Trudinger trace inequalities. Zbl 1138.46020
Cianchi, Andrea
2008
Hardy inequalities with non-standard remainder terms. Zbl 1153.26310
2008
A quantitative Pólya-Szegő principle. Zbl 1175.46021
Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina
2008
Comparison estimates in anisotropic variational problems. Zbl 1357.49137
Alberico, Angela; Cianchi, Andrea
2008
Sharp Morrey–Sobolev inequalities and the distance from extremals. Zbl 1153.46019
Cianchi, Andrea
2008
Neumann problems and isocapacitary inequalities. Zbl 1146.35041
2008
Boundary trace inequalities and rearrangements. Zbl 1169.46013
Cianchi, Andrea; Kerman, Ron; Pick, Luboš
2008
Orlicz-Sobolev algebras. Zbl 1157.46309
Cianchi, Andrea
2008
A strengthened version of the Hardy-Littlewood inequality. Zbl 1155.26017
2008
Symmetrization in anisotropic elliptic problems. Zbl 1219.35028
Cianchi, Andrea
2007
Optimal summability of solutions to nonlinear elliptic problems. Zbl 1387.35282
Alberico, Angela; Cianchi, Andrea
2007
Borderline sharp estimates for solutions to Neumann problems. Zbl 1225.35075
Alberico, Angela; Cianchi, Andrea
2007
Steiner symmetric extremals in Pólya-Szegő-type inequalities. Zbl 1110.46021
Cianchi, Andrea; Fusco, Nicola
2006
A quantitative Sobolev inequality in BV. Zbl 1110.46020
Cianchi, Andrea
2006
Higher-order Sobolev and Poincaré inequalities in Orlicz spaces. Zbl 1120.46015
Cianchi, Andrea
2006
Minimal rearrangements, strict convexity and critical points. Zbl 1104.46016
Cianchi, Andrea; Fusco, Nicola
2006
Dirichlet integrals and Steiner asymmetry. Zbl 1124.46017
Cianchi, Andrea; Fusco, Nicola
2006
On symmetric functionals of the gradient having symmetric equidistributed minimizers. Zbl 1126.46020
2006
The perimeter inequality under Steiner symmetrization: cases of equality. Zbl 1087.28003
Chlebík, Miroslav; Cianchi, Andrea; Fusco, Nicola
2005
Moser–Trudinger inequalities without boundary conditions and isoperimetric problems. Zbl 1097.46016
Cianchi, Andrea
2005
Differentiability properties of Orlicz-Sobolev functions. Zbl 1119.46030
Alberico, Angela; Cianchi, Andrea
2005
Optimal Orlicz-Sobolev embeddings. Zbl 1061.46031
Cianchi, Andrea
2004
Symmetrization and second-order Sobolev inequalities. Zbl 1223.46033
Cianchi, Andrea
2004
Strict monotonicity of functionals under Steiner symmetrization. Zbl 1114.49040
Cianchi, Andrea; Fusco, Nicola
2004
Sobolev embeddings into spaces of Campanato, Morrey, and Hölder type. Zbl 1031.46039
Cianchi, Andrea; Pick, Luboš
2003
Functions of bounded variation and rearrangements. Zbl 1028.49035
Cianchi, Andrea; Fusco, Nicola
2002
Rearrangements of functions in Besov spaces. Zbl 1022.46021
Cianchi, Andrea
2001
A fully anisotropic Sobolev inequality. Zbl 0966.46017
Cianchi, Andrea
2000
Local boundedness of minimizers of anisotropic functionals. Zbl 0984.49019
Cianchi, Andrea
2000
A sharp rearrangement inequality for the fractional maximal operator. Zbl 0968.42014
Cianchi, A.; Kerman, R.; Opic, B.; Pick, L.
2000
Second-order derivatives and rearrangements. Zbl 1017.46023
Cianchi, Andrea
2000
Strong and weak type inequalities for some classical operators in Orlicz spaces. Zbl 0940.46015
Cianchi, Andrea
1999
Gradient regularity for minimizers under general growth conditions. Zbl 0913.49024
Cianchi, Andrea; Fusco, Nicola
1999
Hardy inequalities in Orlicz spaces. Zbl 0920.46021
Cianchi, Andrea
1999
Some results in the theory of Orlicz spaces and applications to variational problems. Zbl 0965.46017
Cianchi, Andrea
1999
Sobolev embeddings into BMO, VMO, and $$L_{\infty}$$. Zbl 1035.46502
Cianchi, Andrea; Pick, Luboš
1998
An optimal interpolation theorem of Marcinkiewicz type in Orlicz spaces. Zbl 0913.46028
Cianchi, Andrea
1998
Interpolation of operators and the Sobolev embedding theorem on Orlicz spaces. Zbl 1011.46025
Cianchi, Andrea
1998
An extension of Hedberg’s convolution inequality and applications. Zbl 0914.42014
Cianchi, Andrea; Stroffolini, Bianca
1998
Boundedness of solutions to variational problems under general growth conditions. Zbl 0892.35048
Cianchi, Andrea
1997
On fractional integration in weighted Lorentz spaces. Zbl 0998.26009
Cianchi, Andrea; Edmunds, David E.
1997
A sharp embedding theorem for Orlicz-Sobolev spaces. Zbl 0860.46022
Cianchi, Andrea
1996
Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems. Zbl 0877.46023
Cianchi, Andrea
1996
On weighted Poincaré inequalities. Zbl 0858.26009
Cianchi, Andrea; Edmunds, David E.; Gurka, Petr
1996
On the $$L^ q$$ norm of functions having equidistributed gradients. Zbl 0884.49011
Cianchi, Andrea
1996
...and 6 more Documents
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#### Cited by 850 Authors

 73 Cianchi, Andrea 28 Mingione, Giuseppe 25 Pick, Luboš 22 Yao, Fengping 19 Alberico, Angela 17 Fusco, Nicola 17 Maz’ya, Vladimir Gilelevich 15 Guliyev, Vagif Sabir 13 Kuusi, Tuomo 12 Deringoz, Fatih 12 Lu, Guozhen 12 Nguyễn Văn Hoàng 12 Shimomura, Tetsu 12 Trombetti, Cristina 12 Yang, Deane 12 Zhang, Gaoyong 11 Byun, Sun-Sig 11 Černý, Robert 11 Mercaldo, Anna 10 Diening, Lars 10 Lutwak, Erwin 10 Maggi, Francesco 9 Chlebicka, Iwona 9 Feo, Filomena 9 Ferone, Adele 9 Leonetti, Francesco 9 Slavíková, Lenka 8 Böröczky, Karoly jun. 8 Ciraolo, Giulio 8 Esposito, Luca 8 Figalli, Alessio 8 Gogatishvili, Amiran 8 Mizuta, Yoshihiro 8 Pratelli, Aldo 8 Zhou, Shulin 7 Breit, Dominic 7 Colesanti, Andrea 7 Di Blasio, Giuseppina 7 Do Ó, João M. Bezerra 7 Nitsch, Carlo 7 Ohno, Takao 7 Pączka, Dariusz 7 Passarelli di Napoli, Antonia 7 Ruf, Bernhard 7 Stroffolini, Bianca 7 Tarsi, Cristina 7 Wang, Lihe 7 Xiao, Jie 7 Yang, Dachun 7 Zhu, Guangxian 6 Brock, Friedemann 6 Carozza, Menita 6 Edmunds, David Eric 6 Ferone, Vincenzo 6 Giannetti, Flavia 6 Haberl, Christoph 6 Hasanov, Sabir G. 6 Ioku, Norisuke 6 Jiang, Renjin 6 Kałamajska, Agnieszka 6 Musil, Vít 6 Sbordone, Carlo 6 Schwarzacher, Sebastian 6 Volpicelli, Roberta 6 Yang, Sibei 6 Zhou, Jiazu 5 Baroni, Paolo 5 Della Pietra, Francesco 5 Fiorenza, Alberto 5 Gavitone, Nunzia 5 Gol’dman, Mikhail L’vovich 5 Kerman, Ron 5 Lam, Nguyen 5 Maksymiuk, Jakub 5 Masmoudi, Nader 5 Sani, Federica 5 Verde, Anna 5 Zhu, Baocheng 4 Alvino, Angelo 4 Barchiesi, Marco 4 Betta, Maria Francesca 4 Bianchi, Gabriele 4 Cagnetti, Filippo 4 Cassani, Daniele 4 Chen, Lu 4 Chiacchio, Francesco 4 di Castro, Agnese 4 Dolbeault, Jean 4 Duzaar, Frank 4 Fan, Xianling 4 Fontana, Luigi 4 Granucci, Tiziano 4 Huang, Qingzhong 4 Hurri-Syrjānen, Ritva 4 Jia, Huilian 4 Ludwig, Monika 4 Martín, Joaquim 4 Migórski, Stanisław 4 Morpurgo, Carlo 4 Nakai, Eiichi ...and 750 more Authors
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#### Cited in 177 Serials

 77 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 65 Journal of Mathematical Analysis and Applications 49 Calculus of Variations and Partial Differential Equations 45 Journal of Functional Analysis 43 Journal of Differential Equations 36 Advances in Mathematics 22 Annali di Matematica Pura ed Applicata. Serie Quarta 19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 17 Archive for Rational Mechanics and Analysis 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Potential Analysis 16 Proceedings of the American Mathematical Society 16 The Journal of Geometric Analysis 15 Communications in Contemporary Mathematics 14 Manuscripta Mathematica 14 Advances in Applied Mathematics 12 Mathematische Annalen 12 Mathematische Nachrichten 11 Transactions of the American Mathematical Society 11 NoDEA. Nonlinear Differential Equations and Applications 11 Journal of the European Mathematical Society (JEMS) 10 Journal of Inequalities and Applications 8 Communications in Partial Differential Equations 8 Nonlinear Analysis. Real World Applications 7 Archiv der Mathematik 7 Revista Matemática Complutense 7 Advances in Calculus of Variations 6 Forum Mathematicum 6 Communications on Pure and Applied Analysis 5 Arkiv för Matematik 5 Revista Matemática Iberoamericana 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 Discrete and Continuous Dynamical Systems 5 Positivity 5 Advanced Nonlinear Studies 5 Mediterranean Journal of Mathematics 5 Complex Variables and Elliptic Equations 5 Discrete and Continuous Dynamical Systems. Series S 5 Science China. Mathematics 4 Communications in Mathematical Physics 4 Mathematical Methods in the Applied Sciences 4 Czechoslovak Mathematical Journal 4 Journal für die Reine und Angewandte Mathematik 4 Ricerche di Matematica 4 Zeitschrift für Analysis und ihre Anwendungen 4 Doklady Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Function Spaces 4 Journal of Elliptic and Parabolic Equations 3 Applicable Analysis 3 Rocky Mountain Journal of Mathematics 3 Studia Mathematica 3 Ukrainian Mathematical Journal 3 Tohoku Mathematical Journal. Second Series 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Indagationes Mathematicae. New Series 3 Journal of Mathematical Sciences (New York) 3 St. Petersburg Mathematical Journal 3 Bulletin des Sciences Mathématiques 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Central European Journal of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Bulletin of Mathematical Sciences 3 Advances in Nonlinear Analysis 2 Computers & Mathematics with Applications 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Nonlinearity 2 Annales de l’Institut Fourier 2 The Annals of Probability 2 Canadian Mathematical Bulletin 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 Mathematika 2 Monatshefte für Mathematik 2 Numerische Mathematik 2 Siberian Mathematical Journal 2 Journal of the American Mathematical Society 2 International Journal of Mathematics 2 Geometric and Functional Analysis. GAFA 2 The Journal of Fourier Analysis and Applications 2 Abstract and Applied Analysis 2 Taiwanese Journal of Mathematics 2 Mathematical Inequalities & Applications 2 Portugaliae Mathematica. Nova Série 2 Analysis and Applications (Singapore) 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Mathematical Inequalities 2 Analysis and Mathematical Physics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Analysis Mathematica 1 Journal of Statistical Physics 1 Mathematical Notes 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik ...and 77 more Serials
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#### Cited in 42 Fields

 457 Partial differential equations (35-XX) 355 Functional analysis (46-XX) 166 Real functions (26-XX) 123 Calculus of variations and optimal control; optimization (49-XX) 94 Convex and discrete geometry (52-XX) 52 Harmonic analysis on Euclidean spaces (42-XX) 40 Operator theory (47-XX) 38 Global analysis, analysis on manifolds (58-XX) 37 Differential geometry (53-XX) 35 Potential theory (31-XX) 26 Measure and integration (28-XX) 20 Probability theory and stochastic processes (60-XX) 19 Fluid mechanics (76-XX) 12 Mechanics of deformable solids (74-XX) 9 Functions of a complex variable (30-XX) 9 Numerical analysis (65-XX) 7 Difference and functional equations (39-XX) 5 History and biography (01-XX) 5 Ordinary differential equations (34-XX) 5 Biology and other natural sciences (92-XX) 4 Geometry (51-XX) 4 Statistics (62-XX) 3 Combinatorics (05-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX)

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