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On weak solutions of nonlinear weighted p-Laplacian elliptic inequalities

✍ Scribed by Roberta Filippucci; Patrizia Pucci; Marco Rigoli

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 804 KB
Volume: 70
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2008.12.031

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we give sufficient conditions for the nonexistence of nonnegative nontrivial entire weak solutions of class W

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 W

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