A global compactness result for an elliptic equation with double singular terms |
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Affiliation: | 1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, P.O. Box 71010, Wuhan, 430071, PR China;2. School of Management, Yangtze University, Jingzhou 434023, PR China |
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Abstract: | In this paper, we establish a global compactness result for (P.S.) sequences of the variational functional of the elliptic problem where , , is a bounded smooth domain with , , and are constants. This extends the global compactness result of Cao and Peng (2003) to the case of elliptic problems with double singular critical terms. Our arguments adapt some refined Sobolev inequalities systematically developed quite recently by Palatucci and Pisante (2014) and blow-up analysis. In this way, our arguments turn out to be quite transparent and easy to be applied to many other problems. |
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Keywords: | Nonlinear elliptic equations Global compactness Singular critical terms |
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