Quasilinear scalar field equations with competing potentials

DOI10.1016/j.jde.2011.08.011zbMath1241.35111OpenAlexW2072873675MaRDI QIDQ641026

Athanasios N. Lyberopoulos

Publication date: 21 October 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.08.011

zbMATH Keywords

weighted Sobolev spaces\(p\)-Laplacianbound statesground statesunbounded or decaying potentialsfibering method

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Navier-Stokes equations (35Q30) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (10)

Existence and multiplicity of solutions for a \(p\)-Kirchhoff equation on \({\mathbb{R}}^N\) ⋮ Existence of nontrivial solutions for singular quasilinear elliptic equations on \(\mathbb R^N\) ⋮ Existence and multiplicity of weak solutions for a singular quasilinear elliptic equation ⋮ Existence and multiplicity for fractional \(p\)-Kirchhoff problem with competitive nonlinearities and critical growth ⋮ Positive solution for a class of degenerate quasilinear elliptic equations in \(\mathbb R^N\) ⋮ Existence and multiple solutions for a critical quasilinear equation with singular potentials ⋮ Existence of solutions for a class of singular quasilinear elliptic equations ⋮ The existence of least energy and high energy solutions to the Kirchhoff type problem in high dimensions ⋮ Existence and multiplicity solutions of fractional Schrödinger equation with competing potential functions ⋮ Quasilinear Scalar Field Equations Involving Critical Sobolev Exponents and Potentials Vanishing at Infinity

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