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Existence result for a class of singular quasilinear elliptic equations with critical growth |
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| Authors: | Guoqing Zhang Weiguo Zhang Yunkai Wang |
| Affiliation: | 1. College of Sciences, University of Shanghai for Science and Technology, Shanghai 200093, PR China;2. Department of Mathematics, Tongji University, Shanghai 200092, PR China;3. College of Management, University of Shanghai for Science and Technology, Shanghai 200093, PR China |
| Abstract: | In this paper, we obtain the existence of a nontrivial solution for a class of singular quasilinear elliptic equations with critical exponents. The proofs rely on a non-smooth critical point theory, and some techniques used by Brezis and Nirenberg. |
| Keywords: | Non-smooth functional Critical exponents Singular and indefinite potential |
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