Abstract We present the existence of positive solutions for a degenerate (or singular) quasilinear equation in a ball or in the entire space R N . As differential operator we… Click to show full abstract
Abstract We present the existence of positive solutions for a degenerate (or singular) quasilinear equation in a ball or in the entire space R N . As differential operator we consider a weighted p-Laplacian with a continuous coefficient satisfying a mild integrability condition towards the boundary of the ball or at infinity in R N . Our main result applies when the nonlinearities f ( u ) have ( p − 1 ) -sublinear growth at infinity and singular semipositone structure at the origin.
               
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