In this paper we consider the following Schrödinger equation: where V is a periodic continuous real function with 0 in a gap of the spectrum σ (A), A := -∆ + V and the classical Ambrosetti-Rabinowitz superlinear condition on g is replaced by a general super-quadratic condition.
✦ LIBER ✦
High energy solutions for the superlinear Schrödinger–Maxwell equations
✍ Scribed by Shang-Jie Chen; Chun-Lei Tang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 490 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we study the existence of infinitely many large energy solutions for the superlinear Schrödinger-Maxwell equations
via the Fountain Theorem in critical point theory.
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