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A global compactness result for singular elliptic problems involving critical Sobolev exponent

Authors:	Daomin Cao Shuangjie Peng

Affiliation:	Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, People's Republic of China ; Department of Mathematics, Xiao Gan University, Xiao Gan, People's Republic of China -- and -- Institute of Applied Mathematics, AMSS., Chinese Academy of Sciences, Beijing 100080, People's Republic of China

Abstract:	Let be a bounded domain such that $0 in Omega, N geq 3,2^=frac{2N}{N-2},lambda in R, epsilon in R$ . Let ${u_n}subset H_0^1(Omega)$ be a (P.S.) sequence of the functional $E_{lambda,epsilon}(u)=frac{1}{2}int_{Omega}(vertnabla uvert^{2}-frac{... ...^2}{vert xvert^2}-epsilon u^2)-frac{1}{2^}int_{Omega} vert uvert^{2^*}$ . We study the limit behaviour of and obtain a global compactness result.

Keywords:	Palais-Smale sequence compactness Sobolev and Hardy critical exponents

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