Semilinear Elliptic Equations with Singularity on the Boundary

Semilinear Elliptic Equations with Singularity on the Boundary

Year:    2002

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 1 : pp. 28–34

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JPDE-5438

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 1 : pp. 28–34

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:    Singularity