Existence of standing waves solution for a nonlinear Schrödinger equation in \(\mathbb{R}^N\)

DOI10.1007/BF03377378zbMath1378.35142arXiv1508.00274OpenAlexW2575959159MaRDI QIDQ1691814

Claudianor Oliveira Alves

Publication date: 25 January 2018

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00274

zbMATH Keywords

variational methodspositive solutionsuperlinear problem

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (6)

Existence and behavior of positive solutions for a class of linearly coupled systems with discontinuous nonlinearities in \(\mathbb{R}^N\) ⋮ Existence and behavior of positive solution for a problem with discontinuous nonlinearity in \({\mathbb{R}}^N\) via a nonsmooth penalization ⋮ Solutions for a quasilinear Schrödinger equation: Subcritical and critical cases ⋮ Existence of solutions for an NSE with discontinuous nonlinearity ⋮ Existence of positive solution for Kirchhoff type problem with critical discontinuous nonlinearity ⋮ Existence and asymptotic behavior of solutions for a class of semilinear subcritical elliptic systems

Cites Work

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• Existence of positive bound states of nonlinear Schrödinger equations with saddle-like potential
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• On a class of nonlinear Schrödinger equations in \(\mathbb R^2\) involving critical growth
• Local mountain-pass for a class of elliptic problems in \(\mathbb R^N\) involving critical growth

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