## Abstract In this paper, we shall investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equations: equation image and equation image Here, Ξ© is a CarnotβCarathΓ©odory metric ball in **R**^__N__^ and __V__ β __L__ ^1^~loc~(Ξ©). The critica
On maximum principles for some degenerate parabolic operators
β Scribed by Wayne T Ford; Margaret C Waid
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 305 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We deal with the degenerate differential operator Au x [ β£ x uΠ x xG0 Here W denotes the Banach space of all w w Moreover, we assume that the function β£ is continuous and positive on 0, qΟ± , it Ε½ . Ε½ . is differentiable at 0, and satisfies the inequalities 0 for suitable constants β£ and β£ . We sh
In this paper some characterizations for the validity of both maximum and weak Ž .< < py2 comparison principles for the operator L L u s y⬠u q a x u u, under Dirichlet conditions, are given. Some comparison and nonresonance results for Ž . sublinear operators of the form y⬠u q f x, u are also stu