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Volume 15, Issue 1
Semilinear Elliptic Equations with Singularity on the Boundary

Youdong Zeng & Zuchi Chen

J. Part. Diff. Eq., 15 (2002), pp. 28-34.

Published online: 2002-02

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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.
  • Keywords

Singularity semilinear equation positive solution

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@Article{JPDE-15-28, author = {Youdong Zeng and Zuchi Chen }, title = {Semilinear Elliptic Equations with Singularity on the Boundary}, journal = {Journal of Partial Differential Equations}, year = {2002}, volume = {15}, number = {1}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5438.html} }
TY - JOUR T1 - Semilinear Elliptic Equations with Singularity on the Boundary AU - Youdong Zeng & Zuchi Chen JO - Journal of Partial Differential Equations VL - 1 SP - 28 EP - 34 PY - 2002 DA - 2002/02 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5438.html KW - Singularity KW - semilinear equation KW - positive solution AB - 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.
Youdong Zeng and Zuchi Chen . (2002). Semilinear Elliptic Equations with Singularity on the Boundary. Journal of Partial Differential Equations. 15 (1). 28-34. doi:
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