On an extremal problem for periodic functions with small support
โ Scribed by D. V. Gorbachev; M. V. Zakharova
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2006
- Tongue
- English
- Weight
- 117 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
## Let be a bounded domain in N and let m be a T -periodic function such that its restriction to ร 0 T belongs to L s 0 T L v for some v > N 2 and s > 2v 2v-N , with v > 1 and s โฅ 2. We give necessary and sufficient conditions on m for the existence, uniqueness, and simplicity of the principal eig