Existence of Multispike Positive Solutions for a Nonlocal Problem in

Jing Yang, Qiuxiang Bian and Na Zhao

Advances in Mathematical Physics, 2020, vol. 2020, 1-13

Abstract:

In this paper, we study the following nonlinear Choquard equation , where and is a positive bounded continuous potential on . By applying the reduction method, we proved that for any positive integer , the above equation has a positive solution with spikes near the local maximum point of if is sufficiently small under some suitable conditions on .

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:7908978

DOI: 10.1155/2020/7908978

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