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Volume 13, Issue 3
A Note on the p-Laplacian Equation with Singular Coefficients

Youdong Zeng & Zuchi Chen

J. Part. Diff. Eq., 13 (2000), pp. 235-242.

Published online: 2000-08

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  • Abstract
We consider the solvability of the Dirichlet problem in a unit n-ball for the p-Laplacian equation with singular coefficients which are singular not only as |x| tends to 1 but also as |x| tends to 0. The existence and regularity of positive radial solutions are proved under some conditions related to parameters p, r, λ and q.
  • Keywords

Positive radial solution singular coefficient p-Laplacian equation

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@Article{JPDE-13-235, author = {Youdong Zeng and Zuchi Chen }, title = {A Note on the p-Laplacian Equation with Singular Coefficients}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {3}, pages = {235--242}, abstract = { We consider the solvability of the Dirichlet problem in a unit n-ball for the p-Laplacian equation with singular coefficients which are singular not only as |x| tends to 1 but also as |x| tends to 0. The existence and regularity of positive radial solutions are proved under some conditions related to parameters p, r, λ and q.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5510.html} }
TY - JOUR T1 - A Note on the p-Laplacian Equation with Singular Coefficients AU - Youdong Zeng & Zuchi Chen JO - Journal of Partial Differential Equations VL - 3 SP - 235 EP - 242 PY - 2000 DA - 2000/08 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5510.html KW - Positive radial solution KW - singular coefficient KW - p-Laplacian equation AB - We consider the solvability of the Dirichlet problem in a unit n-ball for the p-Laplacian equation with singular coefficients which are singular not only as |x| tends to 1 but also as |x| tends to 0. The existence and regularity of positive radial solutions are proved under some conditions related to parameters p, r, λ and q.
Youdong Zeng and Zuchi Chen . (2000). A Note on the p-Laplacian Equation with Singular Coefficients. Journal of Partial Differential Equations. 13 (3). 235-242. doi:
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