Regularity results for weak solutions of elliptic PDEs below the natural exponent

DOI10.1007/s10231-015-0486-yzbMath1348.35040arXiv1408.6749OpenAlexW2093106932MaRDI QIDQ292631

Scott Rodney, Kabe Moen, David V. Cruz-Uribe

Publication date: 8 June 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6749

zbMATH Keywords

regularityweak solutionselliptic PDEshomogeneous Dirichlet problemestimates for the second derivativeoperator in divergence form

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Harmonic analysis and PDEs (42B37)

Related Items

Regularity for minimizers of a class of non-autonomous functionals with sub-quadratic growth, Regularity results for non-autonomous functionals with \(L\log {L}\)-growth and Orlicz Sobolev coefficients, Regularity results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions, Regularity results for bounded solutions to obstacle problems with non-standard growth conditions, Regularity results for a priori bounded minimizers of non-autonomous functionals with discontinuous coefficients, An higher integrability result for the second derivatives of the solutions to a class of elliptic PDE's

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