Semilinear Elliptic Equations with Singularity on the Boundary |
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| Authors: | Youdong Zeng & Zuchi Chen |
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| Abstract: | In this paper, we consider the existence and nonexistence of positive solutions to semilinear elliptic equation -Δu = K(x)(1-|x|)^{-λ_u^q} in the unit ball B with 0-Dirichlet boundary condition. Our main tools are based on the interior estimates of the Schauder type, the Schauder fixed point theorem and the pointwise estimates for Green functions. |
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| Keywords: | Singularity semilinear equation positive solution |
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