Existence and Multiplicity of Solutions for Sublinear Schrödinger Equations with Coercive Potentials

Dong-Lun Wu

Mathematical Problems in Engineering, 2019, vol. 2019, 1-8

Abstract:

In this study, we consider the following sublinear Schrödinger equations where satisfies some sublinear growth conditions with respect to u and is not required to be integrable with respect to x . Moreover, V is assumed to be coercive to guarantee the compactness of the embedding from working space to for all . We show that the abovementioned problem admits at least one solution by using the linking theorem, and there are infinitely many solutions when is odd in u by using the variant fountain theorem.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9291534

DOI: 10.1155/2019/9291534

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