Existence and multiplicity of solutions for Kirchhoff type problem with critical exponent

Qi-Lin Xie; Xing-Ping Wu; Chun-Lei Tang

doi:10.3934/cpaa.2013.12.2773

Article Contents

2013, Volume 12, Issue 6: 2773-2786. Doi: 10.3934/cpaa.2013.12.2773

This issue Previous Article On general fractional abstract Cauchy problem Next Article Convergence rates for elliptic reiterated homogenization problems

Existence and multiplicity of solutions for Kirchhoff type problem with critical exponent

1.
School of Mathematics and Statistics, Southwest University, Chongqing 400715

Received: September 30, 2012

Revised: January 31, 2013

Published: October 2013

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In the present paper, the existence and multiplicity of solutions for Kirchhoff type problem involving critical exponent with Dirichlet boundary value conditions are obtained via the variational method.

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