Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
✍ Scribed by Mitsuharu Ôtani
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 861 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0022-1236
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📜 SIMILAR VOLUMES
We show that entire positive solutions exist for the semilinear elliptic system u = p x v α , v = q x u β on R N , N ≥ 3, for positive α and β, provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail
We prove the existence of bounded solutions of some boundary value problems for degenerate elliptic equations of second order in divergence form. Our results cover also the unbounded domain case. We discuss also the uniqueness problem and asymptotic behaviour of the solutions of our equation.