Remarks on infinitely many solutions for a class of Schrödinger equations with sign-changing potential

Abstract In this paper, we study the existence of infinitely many nontrivial solutions for the following semilinear Schrödinger equation: { − Δ u + V ( x ) u = f ( x , u ) , x ∈ R N , u ∈ H 1 ( R N ) , $$ \textstyle\begin{cases} -\Delta u+V(x)u=f(x,u), \quad x\in\mathbb{R}^{N},\\ u\in H^{1}(\mathbb{...

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Bibliographic Details
Main Authors: Rong Cheng, Yijia Wu
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-020-01356-x