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On superlinear Schrödinger equations with periodic potential

✍ Scribed by Shibo Liu


Book ID
120913962
Publisher
Springer
Year
2011
Tongue
English
Weight
173 KB
Volume
45
Category
Article
ISSN
0944-2669

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Ground state solutions for a periodic Sc
✍ 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.