Semiclassical stationary states for nonlinear Schroedinger equations with fast decaying potentials

Details Semiclassical stationary states for nonlinear Schroedinger equations with fast decaying potentials Semiclassical stationary states for nonlinear Schroedinger equations with fast decaying potentials

2009-02-04

arxiv.org/abs/0902.0722v1

Calc. Var. Partial Differential Equations 37 (2010), no. 1, 1-27

Mathematics

Analysis of PDEs

22 pages

Scientific paper

10.1007/s00526-009-0249-y

We study the existence of stationnary positive solutions for a class of nonlinear Schroedinger equations with a nonnegative continuous potential V. Amongst other results, we prove that if V has a positive local minimum, and if the exponent of the nonlinearity satisfies N/(N-2)

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