Positive solutions for p-Laplacian equations of Kirchhoff type problem with a parameter

In this article, we consider the existence and non-existence of positive solutions for the Kirchhoff type equation $$\displaylines{ -\Big(a+\lambda M \Big(\int_{\Omega}|\nabla u|^{p}dx\Big)\Big)\Delta_pu= f(u), \quad \text{in } \Omega,\cr u=0, \quad \text{on } \partial\Omega, }$$ where $\Omeg...

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Bibliographic Details
Main Authors: Qi Zhang, Jianping Huang
Format: Article
Language:English
Published: Texas State University 2017-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/292/abstr.html