On the coupled systems of second and fourth order elliptic equations |
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| Authors: | Yukun An Xianling Fan |
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| Affiliation: | a College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China;b Department of Mathematics, Lanzhou University, Lanzhou 730000, China |
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| Abstract: | In this paper, by the variational method, we discuss the existence and uniqueness of solutions for a coupled system of second and fourth order elliptic equations in the cases where the perturbation is zero, sublinear and superlinear, respectively. |
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| Keywords: | Elliptic system Existence Uniqueness Perturbation Critical point |
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