Existence results for Schrödinger \(p(\cdot)\)-Laplace equations involving critical growth in \(\mathbb{R}^N$

DOI10.1016/j.na.2018.12.004zbMath1421.35132arXiv1807.03961OpenAlexW2907530318MaRDI QIDQ2414222

Inbo Sim, Ky Ho, Yun-Ho Kim

Publication date: 10 May 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03961

zbMATH Keywords

concentration-compactness principleweighted variable exponent Sobolev spacesquasilinear equation with \(p(\cdot)\)-Laplacian

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Critical exponents in context of PDEs (35B33) Schrödinger operator, Schrödinger equation (35J10) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations (35J62)

Related Items

Existence results for a class of p(x)-Kirchhoff-type equations with critical growth and critical frequency, Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents, Existence and multiplicity of solutions for critical nonlocal equations with variable exponents, Small perturbations of critical nonlocal equations with variable exponents, The concentration-compactness principle for the nonlocal anisotropic \(p\)-Laplacian of mixed order, An existence result for \(( p , q )\)-Laplace equations involving sandwich-type and critical growth, The concentration-compactness principles for \(W^{s,p(\cdot,\cdot)}(\mathbb{R}^N)\) and application, Schrödinger p⋅–Laplace equations in RN involving indefinite weights and critical growth

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