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

DOI10.1515/ans-2023-0136zbMath1540.35144MaRDI QIDQ6547807

Caifeng Zhang, Maochun Zhu

Publication date: 31 May 2024

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationNehari manifoldexistence of ground statesdegenerate potential

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) 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 with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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