Existence of nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical nonlinearity

Abstract In this paper, we study the following fractional Schrödinger equation with electromagnetic fields and critical or supercritical nonlinearity: ( − Δ ) A s u + V ( x ) u = f ( x , | u | 2 ) u + λ | u | p − 2 u , x ∈ R N , $$ (-\Delta )_{A}^{s}u+V(x)u=f\bigl(x, \vert u \vert ^{2}\bigr)u+\lambd...

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Bibliographic Details
Main Authors: Quanqing Li, Kaimin Teng, Wenbo Wang, Jian Zhang
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-020-01409-1