Existence of solutions for p-Kirchhoff type problems with critical exponent

We study the existence of solutions for the p-Kirchhoff type problem involving the critical Sobolev exponent, $$displaylines{ -Big[gBig(int_Omega|abla u|^pdxBig)Big]Delta_pu =lambda f(x,u)+|u|^{p^star-2}uquadext{in }Omega,cr u=0quadext{on }partialOmega, }$$ where $Omega$ is a bounded smooth...

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Bibliographic Details
Main Authors: Ahmed Hamydy, Mohammed Massar, Najib Tsouli
Format: Article
Language:English
Published: Texas State University 2011-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/105/abstr.html