We show that entire positive solutions exist for the semilinear elliptic system u = p x v Ξ± , v = q x u Ξ² on R N , N β₯ 3, for positive Ξ± and Ξ², provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail
β¦ LIBER β¦
Nonexistence of Positive Entire Solutions for Elliptic Inequalities of the Mean Curvature Type
β Scribed by H. Usami
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 225 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0022-0396
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