Multiple solutions for a Robin‐type differential inclusion problem involving the p(x)‐Laplacian |
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| Authors: | Bin Ge Qing‐Mei Zhou |
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| Institution: | 1. Department of Applied Mathematics, Harbin Engineering University, Harbin, China;2. Library, Northeast Forestry University, 150040 Harbin, China |
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| Abstract: | In this paper, we obtain the existence of at least two nontrivial solutions for a Robin‐type differential inclusion problem involving p(x)‐Laplacian type operator and nonsmooth potentials. Our approach is variational, and it is based on the nonsmooth critical point theory for locally Lipschitz functions. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | p(x)‐Laplacian Robin problem differential inclusion Eigenvalue problem Multiple solutions |
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