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

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  • Dong-Lun Wu

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.

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  • Dong-Lun Wu, 2019. "Existence and Multiplicity of Solutions for Sublinear Schrödinger Equations with Coercive Potentials," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-8, August.
    • Handle: RePEc:hin:jnlmpe:9291534
    DOI: 10.1155/2019/9291534
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