Multiple positive solutions to Kirchhoff equations with competing potential functions in R3 $\mathbb{R}^{3}$

Abstract In this paper, we study the existence of multiple positive solutions to the following Kirchhoff equation with competing potential functions: {−(ε2a+εb∫R3|∇v|2)Δv+V(x)v=K(x)|v|p−1vin R3,v>0,v∈H1(R3), $$ \textstyle\begin{cases} -(\varepsilon ^{2}a+\varepsilon b{\int _{\mathbb{R}^{3}}}{ \ve...

Full description

Bibliographic Details
Main Author: Dongdong Sun
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1198-9