EXISTENCE OF SOLUTIONS FOR P-KIRCHHOFF TYPE PROBLEMS WITH CRITICAL EXPONENT
EXISTENCE OF SOLUTIONS FOR P-KIRCHHOFF TYPE PROBLEMS WITH CRITICAL EXPONENT
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发表时间：
2011
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通讯作者：
A. Hamydy;M. Massar;N. Tsouli
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作者：
A. Hamydy;M. Massar;N. Tsouli
We study the existence of solutions for the p-Kirchhoff type problem involving the critical Sobolev exponent, − h g “ Z Ω |∇u|dx ”i ∆pu = λf(x, u) + |u| ?−2u in Ω, u = 0 on ∂Ω, where Ω is a bounded smooth domain of RN , 1 < p < N , p? = Np/(N − p) is the critical Sobolev exponent, λ is a positive parameter, f and g are continuous functions. The main results of this paper establish, via the variational method. The concentration-compactness principle allows to prove that the Palais-Smale condition is satisfied below a certain level.
