The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with a magnetic field

DOI10.3934/cpaa.2020276zbMath1460.58009arXiv1408.3023OpenAlexW3104965541MaRDI QIDQ2658851

Rodrigo C. M. Nemer, Sérgio H. M. Soares, Claudianor Oliveira Alves

Publication date: 24 March 2021

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

Full work available at URL: https://arxiv.org/abs/1408.3023

zbMATH Keywords

Morse theoryvariational methodsmultiplicity of solutionsSchrödinger equationsecond order elliptic equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Second-order elliptic equations (35J15)

Related Items (2)

A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\) ⋮ Multiple solutions for a Schrödinger–Bopp–Podolsky system with positive potentials

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