Existence and multiplicity of semiclassical states for a quasilinear Schrödinger equation in \(\mathbb{R}^N\)

DOI10.3934/cpaa.2013.12.429zbMath1266.35133OpenAlexW2321319896MaRDI QIDQ1948053

Yanheng Ding, Min-Bo Yang

Publication date: 30 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.429

zbMATH Keywords

Mountain Pass Theoremquasilinear Schrödinger equationsemiclassical states

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items

Ground state solutions for a quasilinear Schrödinger equation ⋮ Infinitely many solutions of quasilinear Schrödinger equation with sign-changing potential ⋮ Existence and concentration of ground states to a quasilinear problem with competing potentials ⋮ Existence and concentration of ground state solutions for a subcubic quasilinear problem via Pohozaev manifold ⋮ Multiple solutions of quasilinear Schrödinger equations with critical growth via penalization method ⋮ Semiclassical solutions of perturbed \(p\)-Laplacian equations with critical nonlinearity