Nonexistence of positive weak solutions of elliptic inequalities
โ 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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๐ SIMILAR VOLUMES
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 โฅ 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
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
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