Multiple solutions of quasilinear Schrödinger equations with critical growth via penalization method
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Publication:2243975
DOI10.1007/S00009-021-01911-5zbMath1479.35440OpenAlexW3209179401MaRDI QIDQ2243975
Publication date: 11 November 2021
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-021-01911-5
multiplicitycritical growthpenalization methodNehari manifoldquasilinear Schrödinger equationconcentrationLjusternik-Schnirelmann category
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
Cites Work
- Unnamed Item
- On uniform in time \(H^2\)-regularity of the solution for the 2D Cahn-Hilliard equation
- Concentrating solitary waves for a class of singularly perturbed quasilinear Schrödinger equations with a general nonlinearity
- Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in \(\mathbb{R}^N\)
- Bound states to critical quasilinear Schrödinger equations
- Existence and concentration of ground state solutions for a subcubic quasilinear problem via Pohozaev manifold
- Nonlinear scalar field equations. I: Existence of a ground state
- Existence and concentration of solitary waves for a class of quasilinear Schrödinger equations
- Solitary waves for a class of quasilinear Schrödinger equations in dimension two
- Existence and concentration of positive solutions for a quasilinear equation in \(\mathbb R^N\)
- Solitary waves for quasilinear Schrödinger equations
- On a class of nonlinear Schrödinger equations
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Semiclassical ground states for quasilinear Schrödinger equations with three times growth
- On the variational principle
- Soliton solutions for quasilinear Schrödinger equations. II.
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Existence and multiplicity of semiclassical states for a quasilinear Schrödinger equation in \(\mathbb{R}^N\)
- A unified approach to singularly perturbed quasilinear Schrödinger equations
- Existence and concentration behavior of positive solutions for a quasilinear Schrödinger equation
- Multiplicity of concentrating positive solutions for Schrödinger-Poisson equations with critical growth
- Nash moser methods for the solution of quasilinear schrödinger equations
- Existence and concentration of positive solutions for quasilinear Schrödinger equations with critical growth
- Multiplicity and concentration behavior of positive solutions for a Schrödinger–Kirchhoff type problemviapenalization method
- Quasilinear asymptotically periodic Schrödinger equations with critical growth
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