Let Ωbe 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 - Δu = μfrac(u, x 2) + K (x) frac(u2* (s) - 1, x s) + Q (x) frac(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. ©2005 Elsevier Ltd. All ...
