In this paper we prove the uniqueness of positive weak solutions to the problem Here is a bounded domain in R N (N 3) with smooth boundary j , p denotes the p-Laplacian operator defined by p z = div(|∇z| p-2 ∇z); p > 1, g(x, 0) = 0, for a.e. x ∈ , and g(x, u) is a Caratheodory function. We provide
Uniqueness of solutions for some nonlinear Dirichlet problems
✍ Scribed by Alessio Porretta
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2004
- Tongue
- English
- Weight
- 243 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1021-9722
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📜 SIMILAR VOLUMES
We study the existence and approximation of a nontrivial positive solution for a nonlinear ordinary differential equation of second order. To prove the uniqueness of positive solutions, we use some estimates of the error between exact and approximate solutions. The equation arises in the study of so
By applying the properties of the unique classical solution to the singular boundary value problem on half line -p (s) = g(p(s)); p(s) ¿ 0; s ∈ (0; ∞); p(0) = 0; lims→∞p (s) = b ¿ 0, and constructing the new comparison functions, they show the existence and the optimal global estimates of solutions