Existence of ground states to quasi-linear Schrödinger equations with critical exponential growth involving different potentials

Autor: Zhang Caifeng, Zhu Maochun
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Advanced Nonlinear Studies, Vol 24, Iss 3, Pp 616-636 (2024)
Druh dokumentu: article
ISSN: 2169-0375
DOI: 10.1515/ans-2023-0136
Popis: The purpose of this paper is three-fold. First, we establish singular Trudinger–Moser inequalities with less restrictive constraint:(0.1)supu∈H1(R2),∫R2(|∇u|2+V(x)u2)dx≤1∫R2e4π1−β2u2−1|x|βdx
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