Existence of positive solutions of singular \(p\)-Laplacian equations in a ball


Authors

Fang Li - Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210046, China. Zuodong Yang - College of Zhongbei, Nanjing Normal University, Jiangsu Nanjing 210046, China. - Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210046, China.


Abstract

In this paper, we investigate singular \(p\)-Laplacian equations of the form \(\Delta _pu + f(x,\nabla u)u^{-\lambda} = 0\) with zero Dirichlet boundary condition in a ball \(B \subset R^N\); where \(p > 1, \lambda > 0\), and give a sufficient condition for the equation to have a positive solution, by means of a supersolution and a subsolution.


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ISRP Style

Fang Li, Zuodong Yang, Existence of positive solutions of singular \(p\)-Laplacian equations in a ball, Journal of Nonlinear Sciences and Applications, 5 (2012), no. 1, 44--55

AMA Style

Li Fang, Yang Zuodong, Existence of positive solutions of singular \(p\)-Laplacian equations in a ball. J. Nonlinear Sci. Appl. (2012); 5(1):44--55

Chicago/Turabian Style

Li, Fang, Yang, Zuodong. "Existence of positive solutions of singular \(p\)-Laplacian equations in a ball." Journal of Nonlinear Sciences and Applications, 5, no. 1 (2012): 44--55


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