Lions-type theorem of the \(p\)-Laplacian and applications

DOI10.1515/ANONA-2020-0167zbMath1471.35171OpenAlexW3152673999MaRDI QIDQ2042411

Yanyan Li

Publication date: 20 July 2021

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0167

zbMATH Keywords

critical exponent\(p\)-Laplaciansingular potentialexistence of a ground state solution

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

A class of elliptic mixed boundary value problems with \((p, q)\)-Laplacian: existence, comparison and optimal control ⋮ Existence of ground‐state solutions for p‐Choquard equations with singular potential and doubly critical exponents ⋮ Gradient estimates for a class of higher-order elliptic equations of \(p\)-growth over a nonsmooth domain

Cites Work

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• Nonexistence for \(p\)-Laplace equations with singular weights
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• A strong maximum principle for some quasilinear elliptic equations
• Weighted Sobolev embedding with unbounded and decaying radial potentials
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• NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS
• Asymptotic states for equations of reaction and diffusion
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Variational Methods in Nonlinear Field Equations
• Ground state solution ofp-Laplacian equation with finite many critical nonlinearities

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