On a Schrodinger equation with periodic potential and spectrum point zero
- 1 January 2003
- journal article
- Published by Indiana University Mathematics Journal in Indiana University Mathematics Journal
- Vol. 52 (1) , 109-132
- https://doi.org/10.1512/iumj.2003.52.2273
Abstract
In this paper, we study a nonlinear Schrodinger equation with periodic potential. We assume that zero is an end point of the continuous spectrum of the Schrodinger operator. We establish some existence results of the homoclinic orbits for weak superlinear cases. To this purpose, we develop new linking theorems in Banach Spaces which provide bounded Palais-Smale sequencesKeywords
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