On positive solutions of the \((p,A)\)-Laplacian with potential in Morrey space

DOI10.2140/apde.2016.9.1317zbMath1351.35065arXiv1508.04961OpenAlexW3097991668MaRDI QIDQ325823

Georgios Psaradakis, Yehuda Pinchover

Publication date: 11 October 2016

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04961

zbMATH Keywords

maximum principlequasilinear elliptic equationpositive solutionsLiouville theorem\(p\)-LaplacianMorrey spacesremovable singularityminimal growth

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92) Green's functions for elliptic equations (35J08) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (13)

Optimal Hardy-weights for the (p, A)-Laplacian with a potential term ⋮ Criticality theory for Schrödinger operators with singular potential ⋮ Positive solutions of quasilinear elliptic equations with Fuchsian potentials in Wolff class ⋮ An improved discrete \(p\)-Hardy inequality ⋮ Positive Liouville theorem and asymptotic behaviour for (p, A)-Laplacian type elliptic equations with Fuchsian potentials in Morrey space ⋮ Positive solutions of the \(p\)-Laplacian with potential terms on weighted Riemannian manifolds with linear diameter growth ⋮ Positive solutions of the \(\mathcal{A}\)-Laplace equation with a potential ⋮ A non-local quasi-linear ground state representation and criticality theory ⋮ Positive Liouville theorem and asymptotic behaviour for \((p,A)\)-Laplacian type elliptic equations with Fuchsian potentials in Morrey space ⋮ On minimal decay at infinity of Hardy-weights ⋮ On fractional multi-singular Schrödinger operators: positivity and localization of binding ⋮ On families of optimal Hardy-weights for linear second-order elliptic operators ⋮ An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators

This page was built for publication: On positive solutions of the \((p,A)\)-Laplacian with potential in Morrey space