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ArticleOriginal scientific text

Title

On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type

Authors 1, 1

Affiliations

  1. Mathematical Institute, Academy of Sciences, Žitná 25, CZ-115 67 Praha 1, Czech Republic

Abstract

A nonlinear elliptic partial differential equation with the Newton boundary conditions is examined. We prove that for greater data we get a greater weak solution. This is the so-called comparison principle. It is applied to a steady-state heat conduction problem in anisotropic magnetic cores of large transformers.

Keywords

ENG
comparison principle, anisotropic heat conduction, nonlinear boundary value problem

Bibliography

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Applicationes Mathematicae
1996-1997/24/1
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Pages:
97-107
Main language of publication
English
Received
1996-01-26
Published
1996
Exact and natural sciences