Existence and multiplicity of solutions for a quasilinear Choquard equation via perturbation method
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Publication:4586469
DOI10.1063/1.5038762zbMath1400.35127OpenAlexW2885187011WikidataQ129418566 ScholiaQ129418566MaRDI QIDQ4586469
Fukun Zhao, Xianyong Yang, Wei Zhang
Publication date: 13 September 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5038762
Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)
Related Items (18)
Existence of ground state solutions for quasilinear Schrödinger equations with general Choquard type nonlinearity ⋮ Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions ⋮ Multiple solutions for a quasilinear Choquard equation with critical nonlinearity ⋮ Ground state solutions for a class of quasilinear Schrödinger equations with Choquard type nonlinearity ⋮ Existence results for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity ⋮ Existence of solutions for a class of quasilinear Choquard equations with potential vanishing at infinity ⋮ On multi-bump solutions for the Choquard-Kirchhoff equations in \(\mathbb{R}^N\) ⋮ Existence of positive solution for a class of quasilinear Schrödinger equations with critical Choquard nonlinearity ⋮ \(p\)-Kirchhoff modified Schrödinger equation with critical nonlinearity in \(\mathbb{R}^N\) ⋮ Semi-classical solutions for generalized quasilinear Schrödinger equations with nonlocal term and upper critical exponent ⋮ Multi-bump solutions for the quasilinear Choquard equation in \(\mathbb{R}^N\) ⋮ Multiple solutions for the quasilinear Choquard equation with Berestycki-Lions-type nonlinearities ⋮ The existence results for a class of generalized quasilinear Schrödinger equation with nonlocal term ⋮ Unnamed Item ⋮ Multiplicity and concentration behavior of positive solutions for a generalized quasilinear Choquard equation ⋮ Existence and asymptotical behavior of solutions for a quasilinear Choquard equation with singularity ⋮ Soliton solutions for quasilinear Schrödinger equations involving convolution and critical Nonlinearities ⋮ Quasilinear Choquard equation with critical exponent
Cites Work
- Unnamed Item
- Unnamed Item
- Multiple solutions for quasilinear elliptic equations with a finite potential well
- Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Minimax theorems
- Existence of solutions for singularly perturbed Schrödinger equations with nonlocal part
- Positive solutions of quasilinear Schrödinger equations with critical growth
- Existence of positive solutions, negative solutions and high energy solutions for quasi-linear elliptic equations on \(\mathbb R^N\)
- Multiple Sign-Changing Solutions for Quasilinear Elliptic Equations via Perturbation Method
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Soliton solutions for quasilinear Schrödinger equations, I
- Quasilinear elliptic equations via perturbation method
- Multiplicity and concentration of solutions for a quasilinear Choquard equation
- Existence of groundstates for a class of nonlinear Choquard equations
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