A remark on quasilinear Schrödinger equations with Berestycki-Lions conditions

DOI10.1016/j.aml.2021.107038zbMath1464.35315OpenAlexW3123587604MaRDI QIDQ2021491

Bitao Cheng, Jiangong Hu, Jian-Hua Chen

Publication date: 27 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107038

zbMATH Keywords

nonexistencequasilinear Schrödinger equationground state solutionsBerestycki-Lions conditions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

• Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth
• Positive solutions of asymptotically linear equations via Pohozaev manifold
• Nonlinear scalar field equations. I: Existence of a ground state
• Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations
• Solutions for a quasilinear Schrödinger equation: a dual approach.
• Soliton solutions for quasilinear Schrödinger equations. II.
• Soliton solutions for generalized quasilinear Schrödinger equations
• Nontrivial solutions for a nonlinear Schrödinger equation with nonsymmetric coefficients
• Berestycki-Lions conditions on ground state solutions for a nonlinear Schrödinger equation with variable potentials
• Existence of solutions to a class of asymptotically linear Schrödinger equations in \(\mathbb{R}^n\) via the Pohozaev manifold
• Multiple normalized solutions for quasi-linear Schrödinger equations
• Multiple solutions for quasilinear Schrödinger equations with a parameter
• Some results on standing wave solutions for a class of quasilinear Schrödinger equations

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