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Existence of ground states to quasi-linear Schrödinger equations with critical exponential growth involving different potentials
- Source :
- Advanced Nonlinear Studies, Vol 24, Iss 3, Pp 616-636 (2024)
- Publication Year :
- 2024
- Publisher :
- De Gruyter, 2024.
-
Abstract
- 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
Details
- Language :
- English
- ISSN :
- 21690375
- Volume :
- 24
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Advanced Nonlinear Studies
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.33abcea961bf45e887d46dbdd286d38f
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/ans-2023-0136