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Existence and nonexistence of positive radial solutions for a class of semilinear elliptic system

โœ Scribed by Shaohua Chen; Guozhen Lu

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
110 KB
Volume
38
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Existence and Nonexistence of Entire Pos
Existence and Nonexistence of Entire Positive Solutions of Semilinear Elliptic Systems
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

Existence of positive radial solutions f
Existence of positive radial solutions for a semilinear elliptic system without variational structure
โœ Robert Dalmasso ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 184 KB

In this article we consider (component-wise) positive radial solutions of a weakly coupled semilinear elliptic system in a ball with homogeneous Dirichlet data. We deal with a nonvariational problem. We show that the existence results recently obtained by Zou, while very general, nevertheless do not