SEMILINEAR ELLIPTIC EQUATIONS ON FRACTAL SETS |
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| Authors: | Chen Hua He Zhenya |
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| Institution: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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| Abstract: | In this article, the authors consider a class of semilinear elliptic equations on fractal sets under some new conditions, which are more weaker than those in usual cases.The authors get the non-trivial and non-negative solution of the zero boundary Dirichlet problem using Mountain Pass Lemma. |
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| Keywords: | Fractal Laplacian operator semilinear self-similar Intrinsic dimension |
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