Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential

Abstract In this paper, we focus on the existence of solutions for the Choquard equation { − Δ u + V ( x ) u = ( I α ∗ | u | α N + 1 ) | u | α N − 1 u + λ | u | p − 2 u , x ∈ R N ; u ∈ H 1 ( R N ) , $$\begin{aligned} \textstyle\begin{cases} {-}\Delta {u}+V(x)u=(I_{\alpha }* \vert u \vert ^{\frac{\al...

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Bibliographic Details
Main Authors: Jing Zhang, Qiongfen Zhang
Format: article
Language:EN
Published: SpringerOpen 2021
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Online Access:https://doaj.org/article/a7ba79cadda24e71bc2a6a71c3ec82af
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