Some results on the qualitative properties of positive solutions of quasilinear elliptic equations
✍ Scribed by Berardino Sciunzi
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2007
- Tongue
- English
- Weight
- 295 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1021-9722
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📜 SIMILAR VOLUMES
This paper deals with the existence of positive solutions of convection-diffusion Ž . Ž< <. n Ž . equations ⌬ u q f x, u q g x x. ٌu s 0 in exterior domains of R nG3 .
Our concern is on existence and nonexistence of classical solutions for quasilinear problems.
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.