Existence of positive bound state solution for the nonlinear Schrödinger–Bopp–Podolsky system
Kaimin Teng, Yunxia Yan
2021Electronic journal of qualitative theory of differential equations16 citationsDOIOpen Access PDF
Abstract
In this paper, we study a class of Schrödinger–Bopp–Podolsky system. Under some suitable assumptions for the potentials, by developing some calculations of sharp energy estimates and using a topological argument involving the barycenter function, we establish the existence of positive bound state solution.
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