Multiplicity of positive solutions for semilinear elliptic problems in unbounded domains |
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| Authors: | Tsung-fang Wu |
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| Institution: | Center for General Education, Southern Taiwan University of Technology, Tainan 71005, Taiwan |
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| Abstract: | In this paper, we study the effect of domain shape on the multiplicity of positive solutions for the semilinear elliptic equations. We prove a Palais-Smale condition in unbounded domains and assert that the semilinear elliptic equation in unbounded domains has multiple positive solutions. |
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| Keywords: | Semilinear elliptic equations Palais-Smale Multiple positive solutions |
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