Existence of smooth solutions of problems for parabolic systems with convex constraints on the boundary of the domain
โ Scribed by A. A. Arkhipova; N. N. Ural'tseva
- Publisher
- Springer US
- Year
- 1991
- Tongue
- English
- Weight
- 321 KB
- Volume
- 56
- Category
- Article
- ISSN
- 1573-8795
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๐ SIMILAR VOLUMES
In this paper we consider a nonlinear parabolic problem with a discontinuous, nonmonotone nonlinearity. We assume the existence of an upper solution and a lower solution such that F . Using results from the theory of pseudomonotone operators and from the theory of multivalued analysis together with
We consider a very general second order nonlinear parabolic boundary value problem. Assuming the existence of an upper solution . and a lower solution satisfying ., we show that the problem has extremal periodic solutions in the order interval K=[ , .]. Our proof is based on a general surjectivity