Integrability for solutions to some anisotropic elliptic equations

DOI10.1016/J.NA.2011.11.028zbMath1244.35053OpenAlexW1991333556MaRDI QIDQ412768

Francesco Siepe, Francesco Leonetti

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.11.028

zbMATH Keywords

ellipticsolutionIntegrabilityequationanisotropic

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30)

Related Items (18)

Global Integrability for Solutions to Obstacle Problems ⋮ Global integrability related to anisotropic operators ⋮ Unnamed Item ⋮ Estimates for fully anisotropic elliptic equations with a zero order term ⋮ Regularity for minimizing sequences of some variational integrals ⋮ Regularity for entropy solutions to degenerate elliptic equations with a convection term ⋮ Local regularity for solutions of anisotropic obstacle problems ⋮ Integrability for solutions of anisotropic obstacle problems ⋮ Global integrability for minimizers of anisotropic functionals ⋮ Regularity for solutions to anisotropic obstacle problems ⋮ Global integrability for weak solutions to some anisotropic elliptic equations ⋮ Integrability and boundedness of solutions to some anisotropic problems ⋮ Integrability for solutions to some anisotropic obstacle problems ⋮ Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems ⋮ Global integrability for solutions to some anisotropic problem with nonstandard growth ⋮ Integrability for very weak solutions to boundary value problems of p-harmonic equation ⋮ Unnamed Item ⋮ Regularity for anisotropic solutions to some nonlinear elliptic system

Cites Work

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• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• Regularity for minimizers of functionals with \(p-q\) growth
• Regularity of minimizers of non-isotropic integrals of the calculus of variations
• Partial regularity under anisotropic \((p,q)\) growth conditions
• Estimate of the Hölder norm of the solutions of second-order quasilinear elliptic equations of the general form
• Sharp regularity for functionals with (\(p\),\(q\)) growth
• Teoremi di inclusione per spazi di Sobolev non isotropi

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