Existence of three nontrivial solutions for elliptic systems with critical exponents and weights |
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| Authors: | Xiyou Cheng Shan Ma |
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| Institution: | 1. Department of Applied Mathematics, Nanjing Audit University, Nanjing, 210029, PR China;2. School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, PR China |
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| Abstract: | In this paper, an elliptic system with critical Sobolev exponents and weights is studied by the linking theorem on product space and the classical minimax theorem. By investigating the coefficients of the critical nonlinearities, we establish the existence of three nontrivial solutions. |
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| Keywords: | Elliptic systems Linking theorem Product space (P S )c S )c condition Critical point |
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