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
β¦ LIBER β¦
Extremal solutions for nonlinear parabolic problems with discontinuities
β Scribed by Tiziana Cardinali; Antonella Fiacca; Nikolaos S. Papageorgiou
- Publisher
- Springer Vienna
- Year
- 1997
- Tongue
- English
- Weight
- 645 KB
- Volume
- 124
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
On the Existence of Extremal Periodic So
β
Evgenios P. Avgerinos; Nikolas S. Papageorgiou
π
Article
π
1996
π
Elsevier Science
π
English
β 751 KB
Maximum and minimum solutions for nonlin
β
Kandilakis, Dimitrios A. ;Papageorgiou, Nikolaos S.
π
Article
π
1998
π
Springer-Verlag
π
English
β 412 KB
On the Existence of Solutions for Nonlin
β
Nikolaos S. Papageorgiou
π
Article
π
1997
π
Elsevier Science
π
English
β 242 KB
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
On weak solutions of parabolic initial v
β
H. Deguchi
π
Article
π
2005
π
Elsevier Science
π
English
β 161 KB
Nonlinear Parabolic Equations with Spati
β
Clément Cancès
π
Article
π
2008
π
SP BirkhΓ€user Verlag Basel
π
English
β 682 KB
Strong solutions to elliptic and parabol
β
L. Santos
π
Article
π
1991
π
Elsevier Science
π
English
β 853 KB