On sign-changing solution for a fourth-order asymptotically linear elliptic problem |
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| Authors: | Xiangqing Liu Yisheng Huang |
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| Institution: | a Department of Mathematics, Yunnan Normal University, Kunming 650092, PR China
b Department of Mathematics, Soochow University, Suzhou 215006, Jiangsu, PR China |
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| Abstract: | In this paper we deal with a fourth-order elliptic problem whose nonlinear term is asymptotically linear at both zero and infinity. By using the variational method, we obtain an existence result of sign-changing solutions as well as positive and negative solutions. |
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| Keywords: | Fourth-order elliptic equation The variational method Sign-changing solution |
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