Existence of solutions for Kirchhoff equations with a small perturbations

In this article, we consider the Kirchhoff equation $$\displaylines{ -\Big(a+b\int_{\Omega }|\nabla u|^2dx\Big)\Delta u =f(x,u)+\mu g(x,u),\quad x\in \Omega , \cr u=0,\quad x\in\partial\Omega, }$$ and under suitable assumptions on the main term $f$ in the equation, some existence results are...

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Bibliographic Details
Main Author: Yong-Yi Lan
Format: Article
Language:English
Published: Texas State University 2016-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/225/abstr.html