On weak solutions of nonlinear weighted p
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- 作者：Roberta Filippucci ; Patrizia Pucci ; Marco Rigoli
- 关键词： ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4V4KPPF-6&_mathId=mml5&_user=10&_cdi=5659&_pii=S0362546X08008444&_rdoc=20&_issn=0362546X&_acct=C000029478&_version=1&_userid=578664&md5=
- 刊名：Nonlinear Analysis
- 出版年：2009
- 出版时间：15 April 2009
- 年：2009
- 卷：70
- 期：8
- 页码：3008-3019
- 全文大小：803 K
文摘
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.