Existence of Multiple Positive Solutions for Choquard Equation with Perturbation

Tao Xie, Lu Xiao and Jun Wang

Advances in Mathematical Physics, 2015, vol. 2015, 1-10

Abstract:

This paper is concerned with the following Choquard equation with perturbation: , , where , , and . This kind of equations is well known as the Choquard or nonlinear Schrödinger-Newton equation. Under some assumptions for the functions , we prove the existence of multiple positive solutions of the equation. Moreover, we also show that these results still hold for more generalized Choquard equation with perturbation.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:760157

DOI: 10.1155/2015/760157

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