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Author ID: cianchi.andrea Recent zbMATH articles by "Cianchi, Andrea"
Published as: Cianchi, Andrea; Cianchi, A.
External Links: ORCID · Wikidata
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Serials

7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Journal of Functional Analysis
5 Advances in Mathematics
5 Indiana University Mathematics Journal
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Archive for Rational Mechanics and Analysis
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Journal of Mathematical Analysis and Applications
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Annalen
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 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 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Differential and Integral Equations
1 IMRN. International Mathematics Research Notices
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 Analysis and Mathematical Physics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Elliptic and Parabolic Equations

Publications by Year

Citations contained in zbMATH Open

113 Publications have been cited 1,994 times in 1,072 Documents Cited by Year
Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
102
2009
A sharp embedding theorem for Orlicz-Sobolev spaces. Zbl 0860.46022
Cianchi, Andrea
101
1996
Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065
Cianchi, Andrea; Maz’ya, Vladimir G.
88
2011
Global boundedness of the gradient for a class of nonlinear elliptic systems. Zbl 1298.35070
Cianchi, Andrea; Maz’ya, Vladimir G.
68
2014
Overdetermined anisotropic elliptic problems. Zbl 1179.35107
Cianchi, Andrea; Salani, Paolo
65
2009
The sharp Sobolev inequality in quantitative form. Zbl 1185.46025
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
56
2009
Sobolev embeddings into BMO, VMO, and \(L_{\infty}\). Zbl 1035.46502
Cianchi, Andrea; Pick, Luboš
53
1998
Optimal Orlicz-Sobolev embeddings. Zbl 1061.46031
Cianchi, Andrea
52
2004
Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems. Zbl 1288.35128
Cianchi, Andrea; Maz’ya, Vladimir
51
2014
On the isoperimetric deficit in Gauss space. Zbl 1219.28005
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
49
2011
Boundedness of solutions to variational problems under general growth conditions. Zbl 0892.35048
Cianchi, Andrea
47
1997
A fully anisotropic Sobolev inequality. Zbl 0966.46017
Cianchi, Andrea
40
2000
Functions of bounded variation and rearrangements. Zbl 1028.49035
Cianchi, Andrea; Fusco, Nicola
39
2002
The perimeter inequality under Steiner symmetrization: cases of equality. Zbl 1087.28003
Chlebík, Miroslav; Cianchi, Andrea; Fusco, Nicola
37
2005
Strong and weak type inequalities for some classical operators in Orlicz spaces. Zbl 0940.46015
Cianchi, Andrea
36
1999
Moser–Trudinger inequalities without boundary conditions and isoperimetric problems. Zbl 1097.46016
Cianchi, Andrea
35
2005
Local boundedness of minimizers of anisotropic functionals. Zbl 0984.49019
Cianchi, Andrea
34
2000
Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems. Zbl 0877.46023
Cianchi, Andrea
32
1996
Gradient regularity for minimizers under general growth conditions. Zbl 0913.49024
Cianchi, Andrea; Fusco, Nicola
32
1999
Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs. Zbl 1272.46023
Černý, Robert; Cianchi, Andrea; Hencl, Stanislav
32
2013
Symmetrization in anisotropic elliptic problems. Zbl 1219.35028
Cianchi, Andrea
31
2007
Steiner symmetric extremals in Pólya-Szegő-type inequalities. Zbl 1110.46021
Cianchi, Andrea; Fusco, Nicola
30
2006
Hardy inequalities in Orlicz spaces. Zbl 0920.46021
Cianchi, Andrea
28
1999
Maximizing the \(L^ \infty{}\) norm of the gradient of solutions to the Poisson equation. Zbl 0780.35009
Cianchi, Andrea
25
1992
Moser–Trudinger trace inequalities. Zbl 1138.46020
Cianchi, Andrea
24
2008
Higher-order Sobolev embeddings and isoperimetric inequalities. Zbl 1334.46027
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
24
2015
Symmetrization and second-order Sobolev inequalities. Zbl 1223.46033
Cianchi, Andrea
24
2004
Global gradient estimates in elliptic problems under minimal data and domain regularity. Zbl 1325.35027
Cianchi, Andrea; Maz’ya, Vladimir
23
2015
On relative isoperimetric inequalities in the plane. Zbl 0674.49030
Cianchi, Andrea
22
1989
Second-order two-sided estimates in nonlinear elliptic problems. Zbl 1398.35078
Cianchi, Andrea; Maz’ya, Vladimir G.
22
2018
Quasilinear elliptic problems with general growth and merely integrable, or measure, data. Zbl 1373.35113
Cianchi, Andrea; Maz’ya, Vladimir
22
2017
Pointwise Calderón-Zygmund gradient estimates for the \(p\)-Laplace system. Zbl 1390.35101
Breit, Dominic; Cianchi, Andrea; Diening, Lars; Kuusi, Tuomo; Schwarzacher, Sebastian
21
2018
Korn type inequalities in Orlicz spaces. Zbl 1312.46037
Cianchi, Andrea
20
2014
Hardy inequalities with non-standard remainder terms. Zbl 1153.26310
Cianchi, Andrea; Ferone, Adele
20
2008
Some results in the theory of Orlicz spaces and applications to variational problems. Zbl 0965.46017
Cianchi, Andrea
20
1999
A quantitative Pólya-Szegő principle. Zbl 1175.46021
Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina
19
2008
Well-posed elliptic Neumann problems involving irregular data and domains. Zbl 1200.35105
Alvino, Angelo; Cianchi, Andrea; Maz’ya, Vladimir G.; Mercaldo, Anna
18
2010
Orlicz-Sobolev boundary trace embeddings. Zbl 1208.46028
Cianchi, Andrea
18
2010
Higher-order Sobolev and Poincaré inequalities in Orlicz spaces. Zbl 1120.46015
Cianchi, Andrea
18
2006
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.
18
2017
A quantitative Sobolev inequality in BV. Zbl 1110.46020
Cianchi, Andrea
18
2006
Optimal Gaussian Sobolev embeddings. Zbl 1203.46019
Cianchi, Andrea; Pick, Luboš
17
2009
A sharp form of Poincaré type inequalities on balls and spheres. Zbl 0707.53034
Cianchi, Andrea
16
1989
Sharp Morrey–Sobolev inequalities and the distance from extremals. Zbl 1153.46019
Cianchi, Andrea
16
2008
Nonlinear potentials, local solutions to elliptic equations and rearrangements. Zbl 1235.31009
Cianchi, Andrea
16
2011
Differentiability properties of Orlicz-Sobolev functions. Zbl 1119.46030
Alberico, Angela; Cianchi, Andrea
15
2005
On weighted Poincaré inequalities. Zbl 0858.26009
Cianchi, Andrea; Edmunds, David E.; Gurka, Petr
15
1996
Dirichlet problems for fully anisotropic elliptic equations. Zbl 1388.35043
Barletta, Giuseppina; Cianchi, Andrea
15
2017
A sharp rearrangement inequality for the fractional maximal operator. Zbl 0968.42014
Cianchi, A.; Kerman, R.; Opic, B.; Pick, L.
14
2000
Comparison estimates in anisotropic variational problems. Zbl 1357.49137
Alberico, Angela; Cianchi, Andrea
14
2008
Second-order derivatives and rearrangements. Zbl 1017.46023
Cianchi, Andrea
14
2000
Optimal Sobolev trace embeddings. Zbl 1360.46027
Cianchi, Andrea; Pick, Luboš
14
2016
An optimal interpolation theorem of Marcinkiewicz type in Orlicz spaces. Zbl 0913.46028
Cianchi, Andrea
13
1998
Neumann problems and isocapacitary inequalities. Zbl 1146.35041
Cianchi, Andrea; Maz’ya, Vladimir G.
12
2008
Sobolev embeddings into spaces of Campanato, Morrey, and Hölder type. Zbl 1031.46039
Cianchi, Andrea; Pick, Luboš
12
2003
Trace-free Korn inequalities in Orlicz spaces. Zbl 1380.46028
Breit, D.; Cianchi, A.; Diening, L.
12
2017
Elliptic equations on manifolds and isoperimetric inequalities. Zbl 0709.58037
Cianchi, Andrea
11
1990
On the modulus of continuity of weakly differentiable functions. Zbl 1268.46026
Cianchi, Andrea; Randolfi, Monia
11
2011
Boundary trace inequalities and rearrangements. Zbl 1169.46013
Cianchi, Andrea; Kerman, Ron; Pick, Luboš
10
2008
Fully anisotropic elliptic problems with minimally integrable data. Zbl 1428.35124
Alberico, Angela; Chlebicka, Iwona; Cianchi, Andrea; Zatorska-Goldstein, Anna
10
2019
On some aspects of the theory of Orlicz-Sobolev spaces. Zbl 1194.46042
Cianchi, Andrea
10
2010
Negative Orlicz-Sobolev norms and strongly nonlinear systems in fluid mechanics. Zbl 1337.46024
Breit, Dominic; Cianchi, Andrea
9
2015
Continuity properties of solutions to the \(p\)-Laplace system. Zbl 1378.35145
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
9
2017
A sharp trace inequality for functions of bounded variation in the ball. Zbl 1294.46030
Cianchi, Andrea
8
2012
Sharp Sobolev type embeddings on the entire Euclidean space. Zbl 1405.46024
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
8
2018
Minimal rearrangements, strict convexity and critical points. Zbl 1104.46016
Cianchi, Andrea; Fusco, Nicola
7
2006
Interpolation of operators and the Sobolev embedding theorem on Orlicz spaces. Zbl 1011.46025
Cianchi, Andrea
7
1998
An extension of Hedberg’s convolution inequality and applications. Zbl 0914.42014
Cianchi, Andrea; Stroffolini, Bianca
7
1998
Best remainder norms in Sobolev-Hardy inequalities. Zbl 1177.46021
Cianchi, Andrea; Ferone, Adele
7
2009
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures. Zbl 1440.46030
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
7
2020
On the limit as \(s\rightarrow 0^+\) of fractional Orlicz-Sobolev spaces. Zbl 1467.46032
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
7
2020
Balls minimize trace constants in BV. Zbl 1373.46025
Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
7
2017
Fractional Orlicz-Sobolev embeddings. Zbl 1472.46034
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
7
2021
Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Zbl 1353.35164
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
6
2016
Optimal domain spaces in Orlicz-Sobolev embeddings. Zbl 1440.46028
Cianchi, Andrea; Musil, Vit
6
2019
Classical and approximate Taylor expansions of weakly differentiable functions. Zbl 1309.46013
Cavaliere, Paola; Cianchi, Andrea
6
2014
Sobolev inequalities in arbitrary domains. Zbl 1346.46022
Cianchi, Andrea; Maz’ya, Vladimir
5
2016
A strengthened version of the Hardy-Littlewood inequality. Zbl 1155.26017
Cianchi, Andrea; Ferone, Adele
5
2008
An optimal endpoint trace embedding. Zbl 1208.46029
Cianchi, Andrea; Pick, Luboš
5
2010
Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds. Zbl 1280.58018
Cianchi, Andrea; Maz’ya, Vladimir G.
5
2013
Optimal second-order regularity for the \(p\)-Laplace system. Zbl 1437.35404
Cianchi, Andrea; Maz’ya, Vladimir G.
5
2019
Potential estimates for the \(p\)-Laplace system with data in divergence form. Zbl 1395.35051
Cianchi, A.; Schwarzacher, S.
5
2018
Optimal summability of solutions to nonlinear elliptic problems. Zbl 1387.35282
Alberico, Angela; Cianchi, Andrea
5
2007
A unified approach to Cramér-Rao inequalities. Zbl 1364.94228
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
5
2014
On symmetric functionals of the gradient having symmetric equidistributed minimizers. Zbl 1126.46020
Cianchi, Andrea; Ferone, Adele
4
2006
Dirichlet integrals and Steiner asymmetry. Zbl 1124.46017
Cianchi, Andrea; Fusco, Nicola
4
2006
Smooth approximation of Orlicz-Sobolev maps between manifolds. Zbl 1362.46037
Carozza, Menita; Cianchi, Andrea
4
2016
Strict monotonicity of functionals under Steiner symmetrization. Zbl 1114.49040
Cianchi, Andrea; Fusco, Nicola
3
2004
Orlicz-Sobolev algebras. Zbl 1157.46309
Cianchi, Andrea
3
2008
On fractional integration in weighted Lorentz spaces. Zbl 0998.26009
Cianchi, Andrea; Edmunds, David E.
3
1997
On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds. Zbl 1269.58011
Cianchi, Andrea; Maz’ya, Vladimir
3
2011
On the modulus of continuity of solutions to the \(n\)-Laplace equation. Zbl 1378.35112
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
3
2015
Borderline sharp estimates for solutions to Neumann problems. Zbl 1225.35075
Alberico, Angela; Cianchi, Andrea
3
2007
Second-order regularity for parabolic \(p\)-Laplace problems. Zbl 1439.35204
Cianchi, Andrea; Maz’ya, Vladimir G.
3
2020
Quantitative Sobolev and Hardy inequalities, and related symmetrization principles. Zbl 1179.26054
Cianchi, Andrea
3
2009
Fractional integrals and \(A_p\)-weights: a sharp estimate. Zbl 1180.26001
Alberico, Teresa; Cianchi, Andrea; Sbordone, Carlo
3
2009
Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions. Zbl 1259.35072
Cianchi, Andrea; Maz’ya, Vladimir
3
2012
On the \(L^ q\) norm of functions having equidistributed gradients. Zbl 0884.49011
Cianchi, Andrea
2
1996
Sobolev embeddings in Orlicz and Lorentz spaces with measures. Zbl 1450.46019
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2
2020
Sobolev inequalities for the symmetric gradient in arbitrary domains. Zbl 1451.46033
Cianchi, Andrea; Maz’ya, Vladimir G.
2
2020
Global Schauder estimates for the \(p\)-Laplace system. Zbl 1481.35235
Breit, D.; Cianchi, A.; Diening, L.; Schwarzacher, S.
2
2022
Fractional Orlicz-Sobolev embeddings. Zbl 1472.46034
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
7
2021
Sharp exponential inequalities for the Ornstein-Uhlenbeck operator. Zbl 1485.46038
Cianchi, Andrea; Musil, Vít; Pick, Luboš
1
2021
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures. Zbl 1440.46030
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
7
2020
On the limit as \(s\rightarrow 0^+\) of fractional Orlicz-Sobolev spaces. Zbl 1467.46032
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
7
2020
Second-order regularity for parabolic \(p\)-Laplace problems. Zbl 1439.35204
Cianchi, Andrea; Maz’ya, Vladimir G.
3
2020
Sobolev embeddings in Orlicz and Lorentz spaces with measures. Zbl 1450.46019
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2
2020
Sobolev inequalities for the symmetric gradient in arbitrary domains. Zbl 1451.46033
Cianchi, Andrea; Maz’ya, Vladimir G.
2
2020
Moser inequalities in Gauss space. Zbl 1460.46022
Cianchi, Andrea; Musil, Vít; Pick, Luboš
1
2020
On the limit as \(s\to 1^-\) of possibly non-separable fractional Orlicz-Sobolev spaces. Zbl 1479.46036
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
1
2020
Fully anisotropic elliptic problems with minimally integrable data. Zbl 1428.35124
Alberico, Angela; Chlebicka, Iwona; Cianchi, Andrea; Zatorska-Goldstein, Anna
10
2019
Optimal domain spaces in Orlicz-Sobolev embeddings. Zbl 1440.46028
Cianchi, Andrea; Musil, Vit
6
2019
Optimal second-order regularity for the \(p\)-Laplace system. Zbl 1437.35404
Cianchi, Andrea; Maz’ya, Vladimir G.
5
2019
Second-order two-sided estimates in nonlinear elliptic problems. Zbl 1398.35078
Cianchi, Andrea; Maz’ya, Vladimir G.
22
2018
Pointwise Calderón-Zygmund gradient estimates for the \(p\)-Laplace system. Zbl 1390.35101
Breit, Dominic; Cianchi, Andrea; Diening, Lars; Kuusi, Tuomo; Schwarzacher, Sebastian
21
2018
Sharp Sobolev type embeddings on the entire Euclidean space. Zbl 1405.46024
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
8
2018
Potential estimates for the \(p\)-Laplace system with data in divergence form. Zbl 1395.35051
Cianchi, A.; Schwarzacher, S.
5
2018
On the continuity of weakly monotone functions. Zbl 1410.46017
Carozza, Menita; Cianchi, Andrea
1
2018
Norms supporting the Lebesgue differentiation theorem. Zbl 1400.46023
Cavaliere, Paola; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
1
2018
Quasilinear elliptic problems with general growth and merely integrable, or measure, data. Zbl 1373.35113
Cianchi, Andrea; Maz’ya, Vladimir
22
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.
18
2017
Dirichlet problems for fully anisotropic elliptic equations. Zbl 1388.35043
Barletta, Giuseppina; Cianchi, Andrea
15
2017
Trace-free Korn inequalities in Orlicz spaces. Zbl 1380.46028
Breit, D.; Cianchi, A.; Diening, L.
12
2017
Continuity properties of solutions to the \(p\)-Laplace system. Zbl 1378.35145
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
9
2017
Balls minimize trace constants in BV. Zbl 1373.46025
Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
7
2017
Quasilinear elliptic equations on noncompact Riemannian manifolds. Zbl 1382.35110
Barletta, Giuseppina; Cianchi, Andrea; Maz’ya, Vladimir
2
2017
Canceling effects in higher-order Hardy-Sobolev inequalities. Zbl 1377.46024
Cianchi, Andrea; Ioku, Norisuke
2
2017
Optimal Sobolev trace embeddings. Zbl 1360.46027
Cianchi, Andrea; Pick, Luboš
14
2016
Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Zbl 1353.35164
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
6
2016
Sobolev inequalities in arbitrary domains. Zbl 1346.46022
Cianchi, Andrea; Maz’ya, Vladimir
5
2016
Smooth approximation of Orlicz-Sobolev maps between manifolds. Zbl 1362.46037
Carozza, Menita; Cianchi, Andrea
4
2016
Higher-order Sobolev embeddings and isoperimetric inequalities. Zbl 1334.46027
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
24
2015
Global gradient estimates in elliptic problems under minimal data and domain regularity. Zbl 1325.35027
Cianchi, Andrea; Maz’ya, Vladimir
23
2015
Negative Orlicz-Sobolev norms and strongly nonlinear systems in fluid mechanics. Zbl 1337.46024
Breit, Dominic; Cianchi, Andrea
9
2015
On the modulus of continuity of solutions to the \(n\)-Laplace equation. Zbl 1378.35112
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
3
2015
Global boundedness of the gradient for a class of nonlinear elliptic systems. Zbl 1298.35070
Cianchi, Andrea; Maz’ya, Vladimir G.
68
2014
Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems. Zbl 1288.35128
Cianchi, Andrea; Maz’ya, Vladimir
51
2014
Korn type inequalities in Orlicz spaces. Zbl 1312.46037
Cianchi, Andrea
20
2014
Classical and approximate Taylor expansions of weakly differentiable functions. Zbl 1309.46013
Cavaliere, Paola; Cianchi, Andrea
6
2014
A unified approach to Cramér-Rao inequalities. Zbl 1364.94228
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
5
2014
Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs. Zbl 1272.46023
Černý, Robert; Cianchi, Andrea; Hencl, Stanislav
32
2013
Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds. Zbl 1280.58018
Cianchi, Andrea; Maz’ya, Vladimir G.
5
2013
A sharp trace inequality for functions of bounded variation in the ball. Zbl 1294.46030
Cianchi, Andrea
8
2012
Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions. Zbl 1259.35072
Cianchi, Andrea; Maz’ya, Vladimir
3
2012
Improving sharp Sobolev type inequalities by optimal remainder gradient norms. Zbl 1276.46023
Cianchi, Andrea; Ferone, Adele
1
2012
Differentiability properties of functions from higher-order Orlicz-Sobolev spaces. Zbl 1244.46015
Cianchi, Andrea; Randolfi, Monia
1
2012
Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065
Cianchi, Andrea; Maz’ya, Vladimir G.
88
2011
On the isoperimetric deficit in Gauss space. Zbl 1219.28005
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
49
2011
Nonlinear potentials, local solutions to elliptic equations and rearrangements. Zbl 1235.31009
Cianchi, Andrea
16
2011
On the modulus of continuity of weakly differentiable functions. Zbl 1268.46026
Cianchi, Andrea; Randolfi, Monia
11
2011
On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds. Zbl 1269.58011
Cianchi, Andrea; Maz’ya, Vladimir
3
2011
Well-posed elliptic Neumann problems involving irregular data and domains. Zbl 1200.35105
Alvino, Angelo; Cianchi, Andrea; Maz’ya, Vladimir G.; Mercaldo, Anna
18
2010
Orlicz-Sobolev boundary trace embeddings. Zbl 1208.46028
Cianchi, Andrea
18
2010
On some aspects of the theory of Orlicz-Sobolev spaces. Zbl 1194.46042
Cianchi, Andrea
10
2010
An optimal endpoint trace embedding. Zbl 1208.46029
Cianchi, Andrea; Pick, Luboš
5
2010
Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
102
2009
Overdetermined anisotropic elliptic problems. Zbl 1179.35107
Cianchi, Andrea; Salani, Paolo
65
2009
The sharp Sobolev inequality in quantitative form. Zbl 1185.46025
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
56
2009
Optimal Gaussian Sobolev embeddings. Zbl 1203.46019
Cianchi, Andrea; Pick, Luboš
17
2009
Best remainder norms in Sobolev-Hardy inequalities. Zbl 1177.46021
Cianchi, Andrea; Ferone, Adele
7
2009
Quantitative Sobolev and Hardy inequalities, and related symmetrization principles. Zbl 1179.26054
Cianchi, Andrea
3
2009
Fractional integrals and \(A_p\)-weights: a sharp estimate. Zbl 1180.26001
Alberico, Teresa; Cianchi, Andrea; Sbordone, Carlo
3
2009
Moser–Trudinger trace inequalities. Zbl 1138.46020
Cianchi, Andrea
24
2008
Hardy inequalities with non-standard remainder terms. Zbl 1153.26310
Cianchi, Andrea; Ferone, Adele
20
2008
A quantitative Pólya-Szegő principle. Zbl 1175.46021
Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina
19
2008
Sharp Morrey–Sobolev inequalities and the distance from extremals. Zbl 1153.46019
Cianchi, Andrea
16
2008
Comparison estimates in anisotropic variational problems. Zbl 1357.49137
Alberico, Angela; Cianchi, Andrea
14
2008
Neumann problems and isocapacitary inequalities. Zbl 1146.35041
Cianchi, Andrea; Maz’ya, Vladimir G.
12
2008
Boundary trace inequalities and rearrangements. Zbl 1169.46013
Cianchi, Andrea; Kerman, Ron; Pick, Luboš
10
2008
A strengthened version of the Hardy-Littlewood inequality. Zbl 1155.26017
Cianchi, Andrea; Ferone, Adele
5
2008
Orlicz-Sobolev algebras. Zbl 1157.46309
Cianchi, Andrea
3
2008
Symmetrization in anisotropic elliptic problems. Zbl 1219.35028
Cianchi, Andrea
31
2007
Optimal summability of solutions to nonlinear elliptic problems. Zbl 1387.35282
Alberico, Angela; Cianchi, Andrea
5
2007
Borderline sharp estimates for solutions to Neumann problems. Zbl 1225.35075
Alberico, Angela; Cianchi, Andrea
3
2007
Steiner symmetric extremals in Pólya-Szegő-type inequalities. Zbl 1110.46021
Cianchi, Andrea; Fusco, Nicola
30
2006
Higher-order Sobolev and Poincaré inequalities in Orlicz spaces. Zbl 1120.46015
Cianchi, Andrea
18
2006
A quantitative Sobolev inequality in BV. Zbl 1110.46020
Cianchi, Andrea
18
2006
Minimal rearrangements, strict convexity and critical points. Zbl 1104.46016
Cianchi, Andrea; Fusco, Nicola
7
2006
On symmetric functionals of the gradient having symmetric equidistributed minimizers. Zbl 1126.46020
Cianchi, Andrea; Ferone, Adele
4
2006
Dirichlet integrals and Steiner asymmetry. Zbl 1124.46017
Cianchi, Andrea; Fusco, Nicola
4
2006
The perimeter inequality under Steiner symmetrization: cases of equality. Zbl 1087.28003
Chlebík, Miroslav; Cianchi, Andrea; Fusco, Nicola
37
2005
Moser–Trudinger inequalities without boundary conditions and isoperimetric problems. Zbl 1097.46016
Cianchi, Andrea
35
2005
Differentiability properties of Orlicz-Sobolev functions. Zbl 1119.46030
Alberico, Angela; Cianchi, Andrea
15
2005
Optimal Orlicz-Sobolev embeddings. Zbl 1061.46031
Cianchi, Andrea
52
2004
Symmetrization and second-order Sobolev inequalities. Zbl 1223.46033
Cianchi, Andrea
24
2004
Strict monotonicity of functionals under Steiner symmetrization. Zbl 1114.49040
Cianchi, Andrea; Fusco, Nicola
3
2004
Sobolev embeddings into spaces of Campanato, Morrey, and Hölder type. Zbl 1031.46039
Cianchi, Andrea; Pick, Luboš
12
2003
Functions of bounded variation and rearrangements. Zbl 1028.49035
Cianchi, Andrea; Fusco, Nicola
39
2002
Rearrangements of functions in Besov spaces. Zbl 1022.46021
Cianchi, Andrea
2
2001
A fully anisotropic Sobolev inequality. Zbl 0966.46017
Cianchi, Andrea
40
2000
Local boundedness of minimizers of anisotropic functionals. Zbl 0984.49019
Cianchi, Andrea
34
2000
A sharp rearrangement inequality for the fractional maximal operator. Zbl 0968.42014
Cianchi, A.; Kerman, R.; Opic, B.; Pick, L.
14
2000
Second-order derivatives and rearrangements. Zbl 1017.46023
Cianchi, Andrea
14
2000
Strong and weak type inequalities for some classical operators in Orlicz spaces. Zbl 0940.46015
Cianchi, Andrea
36
1999
Gradient regularity for minimizers under general growth conditions. Zbl 0913.49024
Cianchi, Andrea; Fusco, Nicola
32
1999
Hardy inequalities in Orlicz spaces. Zbl 0920.46021
Cianchi, Andrea
28
1999
Some results in the theory of Orlicz spaces and applications to variational problems. Zbl 0965.46017
Cianchi, Andrea
20
1999
Sobolev embeddings into BMO, VMO, and \(L_{\infty}\). Zbl 1035.46502
Cianchi, Andrea; Pick, Luboš
53
1998
An optimal interpolation theorem of Marcinkiewicz type in Orlicz spaces. Zbl 0913.46028
Cianchi, Andrea
13
1998
Interpolation of operators and the Sobolev embedding theorem on Orlicz spaces. Zbl 1011.46025
Cianchi, Andrea
7
1998
...and 13 more Documents
all top 5

Cited by 996 Authors

78 Cianchi, Andrea
30 Mingione, Giuseppe
30 Pick, Luboš
23 Yao, Fengping
22 Maz’ya, Vladimir Gilelevich
20 Alberico, Angela
17 Byun, Sun-Sig
17 Fusco, Nicola
17 Lu, Guozhen
15 Guliyev, Vagif Sabir
14 Diening, Lars
13 Kuusi, Tuomo
13 Leonetti, Francesco
12 Chlebicka, Iwona
12 Deringoz, Fatih
12 Mercaldo, Anna
12 Nguyễn Văn Hoàng
12 Trombetti, Cristina
12 Yang, Deane
12 Zhang, Gaoyong
11 Černý, Robert
11 Ciraolo, Giulio
11 Feo, Filomena
11 Shimomura, Tetsu
10 Lutwak, Erwin
10 Maggi, Francesco
10 Slavíková, Lenka
9 Breit, Dominic
9 Esposito, Luca
9 Ferone, Adele
9 Giannetti, Flavia
9 Gogatishvili, Amiran
9 Passarelli di Napoli, Antonia
9 Pratelli, Aldo
8 Böröczky, Karoly jun.
8 Figalli, Alessio
8 Musil, Vít
8 Schwarzacher, Sebastian
8 Zhou, Shulin
7 Carozza, Menita
7 Colesanti, Andrea
7 Di Blasio, Giuseppina
7 Do Ó, João M. Bezerra
7 Fiorenza, Alberto
7 Lam, Nguyen
7 Mihula, Zdeněk
7 Mizuta, Yoshihiro
7 Nguyen, Thanh-Nhan
7 Nitsch, Carlo
7 Pączka, Dariusz
7 Ruf, Bernhard
7 Stroffolini, Bianca
7 Tarsi, Cristina
7 Tran, Minh Phuong
7 Volpicelli, Roberta
7 Xiao, Jie
7 Yang, Dachun
7 Zhang, Zhenqiu
7 Zhou, Jiazu
7 Zhu, Guangxian
6 Brock, Friedemann
6 Chen, Lu
6 Della Pietra, Francesco
6 Edmunds, David Eric
6 Ferone, Vincenzo
6 Gavitone, Nunzia
6 Haberl, Christoph
6 Hasanov, Sabir G.
6 Ioku, Norisuke
6 Jiang, Renjin
6 Kałamajska, Agnieszka
6 Ohno, Takao
6 Salort, Ariel Martin
6 Sbordone, Carlo
6 Wang, Lihe
6 Yang, Sibei
6 Ye, Deping
6 Zhu, Baocheng
6 Zhu, Maochun
5 Alvino, Angelo
5 Azroul, Elhoussine
5 Balaadich, Farah
5 Balci, Anna Kh.
5 Baroni, Paolo
5 Betta, Maria Francesca
5 Dolbeault, Jean
5 Duzaar, Frank
5 Gol’dman, Mikhail L’vovich
5 Huang, Qingzhong
5 Kerman, Ron
5 Li, Jungang
5 Lin, Youjiang
5 Ma, Lingwei
5 Maksymiuk, Jakub
5 Martín, Joaquim
5 Masmoudi, Nader
5 Nguyen Tuan Duy
5 Ok, Jihoon
5 Sani, Federica
5 Verde, Anna
...and 896 more Authors
all top 5

Cited in 199 Serials

83 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
79 Journal of Mathematical Analysis and Applications
57 Calculus of Variations and Partial Differential Equations
51 Journal of Differential Equations
47 Journal of Functional Analysis
41 Advances in Mathematics
25 The Journal of Geometric Analysis
23 Annali di Matematica Pura ed Applicata. Serie Quarta
22 Archive for Rational Mechanics and Analysis
20 Proceedings of the American Mathematical Society
20 Journal de Mathématiques Pures et Appliquées. Neuvième Série
19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
17 Potential Analysis
17 Communications in Contemporary Mathematics
15 Mathematische Annalen
15 Advances in Applied Mathematics
14 Manuscripta Mathematica
12 Mathematische Nachrichten
12 Transactions of the American Mathematical Society
12 NoDEA. Nonlinear Differential Equations and Applications
11 Journal of the European Mathematical Society (JEMS)
10 Communications in Partial Differential Equations
10 Positivity
10 Journal of Inequalities and Applications
10 Revista Matemática Complutense
9 Advanced Nonlinear Studies
9 Communications on Pure and Applied Analysis
9 Advances in Calculus of Variations
8 Discrete and Continuous Dynamical Systems
8 Nonlinear Analysis. Real World Applications
8 Complex Variables and Elliptic Equations
7 Archiv der Mathematik
7 Zeitschrift für Analysis und ihre Anwendungen
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Science China. Mathematics
6 Revista Matemática Iberoamericana
6 Forum Mathematicum
6 The Journal of Fourier Analysis and Applications
6 Mediterranean Journal of Mathematics
5 Applicable Analysis
5 Studia Mathematica
5 Arkiv för Matematik
5 Ricerche di Matematica
5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
5 SIAM Journal on Mathematical Analysis
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Discrete and Continuous Dynamical Systems. Series S
5 Advances in Nonlinear Analysis
5 Journal of Function Spaces
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 Mathematische Zeitschrift
4 Doklady Mathematics
4 Journal of Elliptic and Parabolic Equations
3 Israel Journal of Mathematics
3 Nonlinearity
3 Rocky Mountain Journal of Mathematics
3 Ukrainian Mathematical Journal
3 Canadian Mathematical Bulletin
3 Monatshefte für Mathematik
3 Tôhoku Mathematical Journal. Second Series
3 Geometric and Functional Analysis. GAFA
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Indagationes Mathematicae. New Series
3 Topological Methods in Nonlinear Analysis
3 Journal of Mathematical Sciences (New York)
3 St. Petersburg Mathematical Journal
3 Advances in Differential Equations
3 Annales Academiae Scientiarum Fennicae. Mathematica
3 Taiwanese Journal of Mathematics
3 Mathematical Inequalities & Applications
3 Acta Mathematica Sinica. English Series
3 Central European Journal of Mathematics
3 Journal of Fixed Point Theory and Applications
3 Analysis and Mathematical Physics
3 Bulletin of Mathematical Sciences
3 Annales Fennici Mathematici
2 Computers & Mathematics with Applications
2 Communications on Pure and Applied Mathematics
2 Journal d’Analyse Mathématique
2 Annales de l’Institut Fourier
2 The Annals of Probability
2 Applied Mathematics and Optimization
2 Collectanea Mathematica
2 Colloquium Mathematicum
2 Duke Mathematical Journal
2 Indiana University Mathematics Journal
2 Inventiones Mathematicae
2 Journal of Computational and Applied Mathematics
2 Mathematika
2 Memoirs of the American Mathematical Society
2 Numerische Mathematik
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Siberian Mathematical Journal
2 Annals of Global Analysis and Geometry
2 Bulletin of the Iranian Mathematical Society
2 Journal of the American Mathematical Society
2 Asymptotic Analysis
...and 99 more Serials
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Cited in 41 Fields

576 Partial differential equations (35-XX)
415 Functional analysis (46-XX)
188 Real functions (26-XX)
149 Calculus of variations and optimal control; optimization (49-XX)
110 Convex and discrete geometry (52-XX)
67 Harmonic analysis on Euclidean spaces (42-XX)
48 Operator theory (47-XX)
46 Differential geometry (53-XX)
44 Potential theory (31-XX)
43 Global analysis, analysis on manifolds (58-XX)
32 Measure and integration (28-XX)
23 Fluid mechanics (76-XX)
22 Probability theory and stochastic processes (60-XX)
14 Mechanics of deformable solids (74-XX)
11 Functions of a complex variable (30-XX)
10 Difference and functional equations (39-XX)
9 Numerical analysis (65-XX)
7 Biology and other natural sciences (92-XX)
6 Ordinary differential equations (34-XX)
5 History and biography (01-XX)
5 Integral equations (45-XX)
5 Geometry (51-XX)
5 Statistics (62-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Abstract harmonic analysis (43-XX)
3 Computer science (68-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Information and communication theory, circuits (94-XX)
2 Topological groups, Lie groups (22-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)

Citations by Year

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