Multi-bump standing waves for nonlinear Schrödinger equations with a general nonlinearity: the topological effect of potential wells
DOI10.1515/ans-2021-2129zbMath1472.35110arXiv2012.00275OpenAlexW3156240310MaRDI QIDQ2041953
Publication date: 26 July 2021
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.00275
singular perturbationvariational methodsnonlinear Schrödinger equationssemi-classical standing waves
Singular perturbations in context of PDEs (35B25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20)
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