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Existence of solutions for nonlinear elliptic boundary value problems |
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| Authors: | Shao Rong Niu Xin Shen Zu-he |
| Institution: | 1. Department of Mathematics, Nanjing University, Nanjing 210093, China; 2. Department of Mathematics, Fuyang Teacher’s College, Fuyang, Anhui 236032, China |
| Abstract: | Hilbert space method is applied to a class of semilinear second_order elliptic boundary value problems and the existence of solutions is obtained with some restrictions. |
| Keywords: | Hilbert space coercivity condition compact imbedding mapping elliptic equation |
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