On the Existence and Nonexistence of Positive Solutions for Singular Quasilinear Elliptic Equations with Gradient Terms
Jing Zhang
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210023, China.
Zuodong Yang *
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210023, China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we investigate the positive solutions of quasilinear elliptic equations of the form
where 
is an open ball centered at origin of RN, g is an unbounded decreasing
function 
is positive and continuous 
. We emphasis the
effect of all these terms in the study of existence and nonexistence of positive solutions.
Keywords: Gradient terms, Quasilinear elliptic equation, Singular, Existence and Nonexistence.