Existence of solutions for a quasilinear Schrödinger equation with subcritical nonlinearities
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Publication:435121
DOI10.1016/j.na.2012.04.054zbMath1258.35077OpenAlexW2067835474MaRDI QIDQ435121
Publication date: 16 July 2012
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2012.04.054
Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)
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Cites Work
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Soliton solutions for quasilinear Schrödinger equations with critical growth
- On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
- Global existence of small solutions to a relativistic nonlinear Schrödinger equation
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Soliton solutions for quasilinear Schrödinger equations. II.
- Dual variational methods in critical point theory and applications
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Stability and instability results for standing waves of quasi-linear Schrödinger equations
- Soliton solutions for quasilinear Schrödinger equations, I
- Quasilinear asymptotically periodic Schrödinger equations with critical growth
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