Multi-peak solutions for logarithmic Schrödinger equations with potentials unbounded below

DOI10.3934/DCDS.2023073zbMath1525.35083OpenAlexW4383268454MaRDI QIDQ6077270

Xiaoming An, Xian Yang

Publication date: 17 October 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2023073

zbMATH Keywords

penalizationvariational methodslogarithmic Schrödinger equationexistence of multi-peak solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

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