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Existence of a ground state and scattering for a nonlinear Schrödinger equation with critical growth

✍ Scribed by Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa


Book ID
120778835
Publisher
SP Birkhäuser Verlag Basel
Year
2012
Tongue
English
Weight
690 KB
Volume
19
Category
Article
ISSN
1022-1824

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📜 SIMILAR VOLUMES


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.