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Existence and multiplicity of positive solutions of semilinear elliptic equations in unbounded domains |
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| Authors: | Kai Hu Chun-Lei Tang |
| Institution: | a School of Mathematics and Statistics, Southwest University, Chongqing 400715, People?s Republic of China b Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, People?s Republic of China |
| Abstract: | We investigate the existence and the multiplicity of positive solutions for the semilinear elliptic equation −Δu+u=Q(x)|u|p−2u in exterior domain which is very close to RN. The potential Q(x) tends to positive constant at infinity and may change sign. |
| Keywords: | Elliptic equation Positive solution Exterior domain Lack of compactness Reduction method Linking |
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