Existence and multiplicity of solutions for certain Dirichlet problems with nonlinearity depending on the derivative
β Scribed by Naira Del Toro; Francisco Roca
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 247 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π 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