Infinitely many solutions for quasilinear Schrödinger equation with critical exponential growth in \(\mathbb{R}^N\)

DOI10.1016/j.jmaa.2016.03.002zbMath1339.35295OpenAlexW2296894094MaRDI QIDQ268534

Caisheng Chen, Hongxue Song, Qinglun Yan

Publication date: 15 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.03.002

zbMATH Keywords

quasilinear elliptic equationsTrudinger-Moser inequalitymountain-pass theorem\(N\)-LaplacianSchwarz symmetrization

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) Quasilinear elliptic equations (35J62)

Related Items (7)

\((p, q)\) systems with critical terms in \(\mathbb{R}^N\) ⋮ Nontrivial solutions for a \((p, q)\)-type critical Choquard equation on the Heisenberg group ⋮ Multiple Solutions of Sublinear Quasilinear Schrödinger Equations with Small Perturbations ⋮ Positive solutions for a class of quasilinear Schrödinger equations with vanishing potentials ⋮ Infinitely many solutions for a class of quasilinear Schrödinger equations involving sign-changing weight functions ⋮ Infinitely many solutions for sublinear modified nonlinear Schrödinger equations perturbed from symmetry ⋮ Critical equations with Hardy terms in the Heisenberg group

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