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Existence of solutions of extremal problems

✍ Scribed by S. V. Rzhevskii

Book ID
105546179
Publisher
Springer US
Year
1995
Tongue
English
Weight
277 KB
Volume
31
Category
Article
ISSN
1573-8337

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On the Existence of Extremal Periodic So
On the Existence of Extremal Periodic Solutions for Nonlinear Parabolic Problems with Discontinuities
✍ Evgenios P. Avgerinos; Nikolas S. Papageorgiou πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 751 KB

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