Acta Mathematica Hungarica

, Volume 127, Issue 1–2, pp 178–194

On a nonlinear system consisting of three different types of differential equations



We consider a system consisting of a first order differential equation, a parabolic and an elliptic equation. Existence of weak solutions is proved by using the Schauder fixed point theorem. The paper improves some results of [3, 6] which is illustrated by example

Key words and phrases

flow in porous medium system of partial differential equations monotone operators Schauder fixed point theorem 

2000 Mathematics Subject Classification

35K60 35J60 


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2010

Authors and Affiliations

  1. 1.Department of Applied AnalysisEötvös Loránd UniversityBudapestHungary

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