Positive solutions for a Dirichlet problem |
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| Authors: | Zhou Huansong |
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| Affiliation: | (1) Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, 430071 Wuhan, China |
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| Abstract: | In this paper, we study a nonlinear Dirichlet problem on a smooth bounded domain, in which the nonlinear term is asymptotically linear, not superlinear, at infinity and sublinear near the origin. By using Mountain Pass Theorem, we prove that there exist at least two positive solutions under suitable assumptions on the nonlinearity |
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| Keywords: | Positive solution Dirichlet problem mountain pass |
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