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Ground state solutions for a periodic Schrödinger equation with superlinear nonlinearities

✍ Scribed by Minbo Yang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
476 KB
Volume
72
Category
Article
ISSN
0362-546X

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✦ Synopsis

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.

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