Seminari del Dipartimento

Analisi Matematica

We present existence of positive solutions for a boundary degenerate (or
singular) quasilinear equation in a ball or in the entire space R^N. We consider as differential operator 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
 
org: ESPOSITO Pierpaolo