In this paper we give sufficient conditions for the nonexistence of nonnegative nontrivial entire weak solutions of class of p-Laplacian elliptic inequalities with possibly singular weights. In order to get the results a new Omori–Yau type principle is used. We complement our nonexistence results by establishing existence of infinitely many positive radial solutions each of which blows up at some finite R>0. Finally, a criterium for the existence of positive entire large radial solutions of class is also established.
|Titolo:||On weak solutions of nonlinear weighted p-Laplacian elliptic inequalities|
RIGOLI, MARCO (Ultimo)
|Parole Chiave:||p-Laplacian elliptic inequalities with weights ; Nonexistence of entire solutions ; Existence of p-regular radial solutions|
|Settore Scientifico Disciplinare:||Settore MAT/03 - Geometria|
|Data di pubblicazione:||2009|
|Digital Object Identifier (DOI):||10.1016/j.na.2008.12.031|
|Appare nelle tipologie:||01 - Articolo su periodico|