Multiple positive solutions for a class of Kirchhoff type equations in R N $\mathbb{R}^{N}$

Multiple positive solutions for a class of Kirchhoff type equations in R N $\mathbb{R}^{N}$

Abstract In this paper, we study the following nonlinear Kirchhoff type equation: − ( a + b ∫ R N | ∇ u | 2 d x ) △ u + V u = f ( u ) + h ( x ) , x ∈ R N , $$\begin{aligned} - \biggl(a+b \int_{\mathbb{R}^{N}} \vert \nabla u \vert ^{2}\,dx \biggr) \triangle u+Vu=f(u)+h(x),\quad x\in\mathbb{R}^{N}, \e...

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Bibliographic Details
Main Authors: Lian-bing She, Xin Sun, Yu Duan
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:Boundary Value Problems
Subjects:
Kirchhoff type equation
variational methods
Pohozaev equality
monotonicity trick
Online Access:http://link.springer.com/article/10.1186/s13661-018-0928-8

Internet

http://link.springer.com/article/10.1186/s13661-018-0928-8

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