Nonhomogeneous elliptic problems of Kirchhoff type involving critical Sobolev exponents

This article concerns the existence and the multiplicity of solutions for nonhomogeneous elliptic Kirchhoff problems involving the critical Sobolev exponent, defined on a regular bounded domain of $\mathbb{R}^3$. Our approach is essentially based on Ekeland's Variational Principle and the...

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Hlavní autoři: Safia Benmansour, Mohammed Bouchekif
Médium: Artigo
Jazyk:Inglês
Vydáno: Texas State University 2015-03-01
Edice:Electronic Journal of Differential Equations
Témata:
Variational methods
critical Sobolev exponent
Nehari manifold
Palais-Smale condition
Kirchhoff equation
On-line přístup:http://ejde.math.txstate.edu/Volumes/2015/69/abstr.html
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