Existence of ground state solutions for quasilinear Schrödinger equations with super-quadratic condition
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Publication:1996374
DOI10.1016/j.aml.2017.11.007zbMath1459.35187OpenAlexW2772727404MaRDI QIDQ1996374
Bitao Cheng, Xian Hua Tang, Jian-Hua Chen
Publication date: 4 March 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2017.11.007
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
Related Items (7)
Existence of ground state solutions for a class of quasilinear Schrödinger equations with general critical nonlinearity ⋮ Unnamed Item ⋮ Multiple solutions for nonhomogeneous Schrödinger equations ⋮ Infinitely many solutions for quasilinear Schrödinger equation with general superlinear nonlinearity ⋮ Positive solutions for a class of quasilinear Schrödinger equations with superlinear condition ⋮ Ground state solutions for a class of Choquard equations with potential vanishing at infinity ⋮ Ground state solutions for quasilinear Schrödinger equations with variable potential and superlinear reaction
Cites Work
- Solitary waves for a class of quasilinear Schrödinger equations in dimension two
- On instability of excited states of the nonlinear Schrödinger equation
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- Radial solutions for quasilinear Schrödinger equations without 4-superlinear condition
- Soliton solutions for quasilinear Schrödinger equations. II.
- Minimax theorems
- Soliton solutions for generalized quasilinear Schrödinger equations
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- A positive solution for an asymptotically linear elliptic problem on $\mathbb{R}^N$ autonomous at infinity
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