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期刊论文
An elliptic equation with combined critical Sobolev-Hardy terms
Nonlinear Analysis 65(2006)1595-1612,-0001,():
Let Ω be a bounded domain in RN (N≥3) with the origin 0 ∈Ω, μ<((N-2)/2)2, 2*(s)=2(N-s)/(N-2); K(x)≥0 and Q(x)≥0 are two smooth functions on Ω. In this paper, we investigate the singular elliptic equation-△u=μu/|x|2+K(x)u2*(s)−1/|x|s+Q(x)u2*(t)−1/|x−x0|t+f(x,u) with Dirichlet boundary conditions. We study the limit behavior of the (P.S.) sequence of the corresponding energy functional and give a global compactness theorem, and then give some existence results.
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