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 } \...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2015-08-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2015/215/abstr.html |