A Regularity Result for the p-Laplacian Near Uniform Ellipticity

DOI10.1137/16M1058546zbMath1342.35121arXiv1601.07211OpenAlexW2302231832MaRDI QIDQ2814473

Giuseppe Riey, Carlo Mercuri, Berardino Sciunzi

Publication date: 22 June 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07211

zbMATH Keywords

degenerate elliptic equationsregularity theoryquasi-linear elliptic equations

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

A note on the boundary regularity of solutions to quasilinear elliptic equations ⋮ Second order regularity for degenerate nonlinear elliptic equations ⋮ Hopf lemma and regularity results for quasilinear anisotropic elliptic equations ⋮ Regularity results for \(p\)-Laplacians in pre-fractal domains ⋮ Interior regularity results for inhomogeneous anisotropic quasilinear equations ⋮ A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form ⋮ Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth ⋮ Remarks on regularity for \(p\)-Laplacian type equations in non-divergence form ⋮ Harnack inequalities and qualitative properties for some quasilinear elliptic equations ⋮ Groundstate asymptotics for a class of singularly perturbed \(p\)-Laplacian problems in \({{\mathbb{R}}}^N\)

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