On sign-changing and multiple solutions of the p-Laplacian |
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Authors: | Zhitao Zhang Shujie Li |
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Institution: | Academy of Mathematics & System Sciences, Institute of Mathematics, Academia Sinica, Beijing, 100080, People's Republic of China |
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Abstract: | In this paper, we construct the pseudo-gradient vector field in , by which we obtain the positive and negative cones of are both invariant sets of the descent flow of the corresponding functional. Then we use differential equations theory in Banach spaces and dynamics theory to study p-Laplacian boundary value problems with “jumping” nonlinearities at zero or infinity, and get new multiple solutions and sign-changing solutions theorems of p-Laplacian. |
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Keywords: | 35J20 35J25 35J60 |
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