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On the existence of extremal solutions for discontinuous elliptic equations under discontinuous flux conditions

✍ Scribed by Siegfried Carl; Seppo Heikkilä

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
540 KB
Volume
23
Category
Article
ISSN
0362-546X

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✍ Evgenios P. Avgerinos; Nikolas S. Papageorgiou 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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