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Existence of solutions for non-periodic superlinear Schrödinger equations without (AR) condition

✍ Scribed by Wan Lili; Tang Chunlei


Book ID
119527967
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
304 KB
Volume
32
Category
Article
ISSN
0252-9602

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✍ Minbo Yang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 476 KB

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.