Existence and uniqueness of positive solutions to the boundary blow-up problem for an elliptic system |
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Authors: | Huiling Li Mingxin Wang |
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Institution: | Department of Mathematics, Southeast University, Nanjing 210018, PR China |
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Abstract: | An elliptic system is considered in a smooth bounded domain, subject to Dirichlet boundary conditions of three different types. Based on the construction of certain upper and sub-solutions, we obtain some conditions on the parameters ai,bi,ci (i=1,2) and the exponents m,n,p,q to ensure the existence of positive solutions. Furthermore, uniqueness and boundary behavior of positive solutions is also discussed. |
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Keywords: | 35J55 35B40 |
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