Existence of ground state solutions for quasilinear Schrodinger equations with variable potentials and almost necessary nonlinearities
In this article we prove the existence of ground state solutions for the quasilinear Schrodinger equation $$ -\Delta u+V(x)u-\Delta (u^2)u= g(u), \quad x\in \mathbb{R}^N, $$ where $N\ge 3$, $V\in \mathcal{C}^1(\mathbb{R}^N, [0, \infty))$ satisfies mild decay conditions and $g\in \mathcal{C}(\m...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/157/abstr.html |