Note on an elementary inequality and its application to the regularity of p-harmonic functions

DOI10.54330/afm.112699zbMath1485.35250arXiv2009.10102OpenAlexW3088788743MaRDI QIDQ5024061

Saara Sarsa

Publication date: 28 January 2022

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10102

zbMATH Keywords

Sobolev regularity\(p\)-harmonic function

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

A second-order Sobolev regularity for \(p(x)\)-Laplace equations ⋮ A quantitative second order estimate for (weighted) \(p\)-harmonic functions in manifolds under curvature-dimension condition ⋮ A systematic approach on the second order regularity of solutions to the general parabolic \(p\)-Laplace equation ⋮ Global second order Sobolev-regularity of \(p\)-harmonic functions ⋮ On the second-order regularity of solutions to the parabolic \(p\)-Laplace equation

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