Existence of two positive solutions for indefinite Kirchhoff equations in R^3

In this article we study the Kirchhoff type equation $$\displaylines{ -\Big(1+b\int_{\mathbb{R}^3}|\nabla u|^2dx\Big)\Delta u+u =k(x)f(u)+\lambda h(x)u,\quad x\in \mathbb{R}^3, \cr u\in H^{1}(\mathbb{R}^3), }$$ involving a linear part $-\Delta u+u-\lambda h(x)u$ which is coercive if $0<\la...

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Bibliographic Details
Main Authors: Ling Ding, Yi-Jie Meng, Shi-Wu Xiao, Jin-Ling Zhang
Format: Article
Language:English
Published: Texas State University 2016-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/35/abstr.html