Existence of a positive solution for nonlinear Schrödinger equations with general nonlinearity
We study the following nonlinear Schrödinger equations: -Δu+V(x)u=f(u)inℝN.$ - \Delta u + V(x) u = f(u) \quad \text{in } {\mathbb {R}^N}. $ The purpose of this paper is to establish the existence of a positive solution under general conditions which are weaker than the Ambrosetti–Rabinowitz conditio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2014-09-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2014-0003 |
| Summary: | We study the following nonlinear Schrödinger equations:
-Δu+V(x)u=f(u)inℝN.$
- \Delta u + V(x) u = f(u) \quad \text{in } {\mathbb {R}^N}.
$
The purpose of this paper is to establish the existence of a positive solution
under general conditions which are weaker than the Ambrosetti–Rabinowitz condition. |
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| ISSN: | 2191-9496 2191-950X |