In this article, we study the semilinear Schrodinger equation
where and is a small parameter. The function is bounded in , and it has a possibly degenerate isolated critical point. Under some conditions on f, we prove that as , this equation has a solution which concentrates at the critical point of V.
Submitted August 16, 2011. Published May 31, 2012.
Math Subject Classifications: 35J20, 35J70.
Key Words: Semilinear Schrodinger equation; variational reduction method.
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| Shaowei Chen |
School of Mathematical Sciences
Capital Normal University
Beijing 100048, China
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