Sobolev-Morrey regularity of solutions to general quasilinear elliptic equations

DOI10.1016/J.NA.2016.09.004zbMath1352.35050OpenAlexW2529599397MaRDI QIDQ334107

Pilsoo Shin, Sun-Sig Byun, Dian K. Palagachev

Publication date: 31 October 2016

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.2016.09.004

zbMATH Keywords

regularityweak solutionMorrey spaceReifenberg flat domainsmall BMOcontrolled growthsquasilinear elliptic operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Regularity of solutions in optimal control (49N60) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Regularity estimates for BMO-weak solutions of quasilinear elliptic equations with inhomogeneous boundary conditions ⋮ Morrey regularity for nonlinear elliptic equations with partial BMO nonlinearities under controlled growth ⋮ Global Morrey regularity for asymptotically regular elliptic equations ⋮ Estimates for the p‐Laplacian‐type operator in the subcritical Sobolev exponent range ⋮ Survey on gradient estimates for nonlinear elliptic equations in various function spaces ⋮ Boundedness of the solutions to non-linear systems with Morrey data

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