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Nonexistence of positive weak solutions of elliptic inequalities

โœ Scribed by Roberta Filippucci


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
798 KB
Volume
70
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


Existence and Nonexistence of Entire Pos
โœ Xuefeng Wang; Aihua W. Wood ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 80 KB

We show that entire positive solutions exist for the semilinear elliptic system u = p x v ฮฑ , v = q x u ฮฒ on R N , N โ‰ฅ 3, for positive ฮฑ and ฮฒ, provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail

On weak solutions of nonlinear weighted
โœ Roberta Filippucci; Patrizia Pucci; Marco Rigoli ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 804 KB

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 m

Nonexistence of positive entire solution
โœ Caisheng Chen; Lanfang Shi; Shenglan Zhu ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 230 KB

In this work we consider the nonexistence of a positive entire solution for the quasilinear elliptic system where p, q > 1 and ฮฑ > q -1, ฮฒ > p -1. We study the effect of the asymptotic behavior of f (x), g(x) and solutions at infinity on the nonexistence of a positive solution for Problem (0.1). So