Multiple solutions for Kirchhoff type problem near resonance

Based on Ekeland's variational principle and the mountain pass theorem, we show the existence of three solutions to the Kirchhoff type problem $$\displaylines{ -\Big(a+b\int_{\Omega}|\nabla u|^2dx \Big) \Delta u =b \mu u^3+f(x,u)+h(x), \quad\text{in } \Omega, \cr u=0, \quad \text{on } \...

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Bibliographic Details
Main Authors: Shu-Zhi Song, Chun-Lei Tang, Shang-Jie Chen
Format: Article
Language:English
Published: Texas State University 2015-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/215/abstr.html