Existence of solutions for some fourth-order nonlinear elliptic problems |
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| Authors: | Yang Yang Jihui Zhang |
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| Affiliation: | a Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097, People's Republic of China
b School of Science, Jiangnan University, Wuxi 214122, People's Republic of China |
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| Abstract: | In this paper, we consider the existence of positive, negative and sign-changing solutions for some fourth order semilinear elliptic boundary value problems. We present new results on invariant sets of the gradient flows of the corresponding variational functionals. The structure of the invariant sets will be built into minimax procedures to construct the sign-changing solutions. |
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| Keywords: | Critical point Invariant sets Minimax method |
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