Existence of extremal periodic solutions for quasilinear parabolic equations

Existence of extremal periodic solutions for quasilinear parabolic equations

In this paper we consider a quasilinear parabolic equation in a bounded domain under periodic Dirichlet boundary conditions. Our main goal is to prove the existence of extremal solutions among all solutions lying in a sector formed by appropriately defined upper and lower solutions. The main tools u...

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Bibliographic Details
Main Author: Siegfried Carl
Format: Article
Language:English
Published: Hindawi Limited 1997-01-01
Series:Abstract and Applied Analysis
Subjects:
Quasilinear parabolic equations
Dirichlet-periodic boundary conditions
extremal solutions
upper and lower solutions
pseudomonotone operators
truncation and comparison techniques.
Online Access:http://dx.doi.org/10.1155/S1085337597000389

Internet

http://dx.doi.org/10.1155/S1085337597000389

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