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Volume 18, Issue 1
Non-negative Radial Solution for an Elliptic Equation

Guoying Yang & Zongming Guo

J. Part. Diff. Eq., 18 (2005), pp. 13-21.

Published online: 2005-02

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  • Abstract

We study the structure and behavior of non-negative radial solution for the following elliptic equation Δu = u^ν, x ∈ \mathbb{R}^n with 0 < ν < 1. We also obtain the detailed asymptotic expansion of u near infinity.

  • Keywords

Structure singular solution regular solution asymptotic expansion

  • AMS Subject Headings

35J60 35B40.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-18-13, author = {Guoying Yang and Zongming Guo }, title = {Non-negative Radial Solution for an Elliptic Equation}, journal = {Journal of Partial Differential Equations}, year = {2005}, volume = {18}, number = {1}, pages = {13--21}, abstract = {

We study the structure and behavior of non-negative radial solution for the following elliptic equation Δu = u^ν, x ∈ \mathbb{R}^n with 0 < ν < 1. We also obtain the detailed asymptotic expansion of u near infinity.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5342.html} }
TY - JOUR T1 - Non-negative Radial Solution for an Elliptic Equation AU - Guoying Yang & Zongming Guo JO - Journal of Partial Differential Equations VL - 1 SP - 13 EP - 21 PY - 2005 DA - 2005/02 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5342.html KW - Structure KW - singular solution KW - regular solution KW - asymptotic expansion AB -

We study the structure and behavior of non-negative radial solution for the following elliptic equation Δu = u^ν, x ∈ \mathbb{R}^n with 0 < ν < 1. We also obtain the detailed asymptotic expansion of u near infinity.

Guoying Yang and Zongming Guo . (2005). Non-negative Radial Solution for an Elliptic Equation. Journal of Partial Differential Equations. 18 (1). 13-21. doi:
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