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ArticleOriginal scientific text

Title

On a nonlocal elliptic problem

Authors 1

Affiliations

  1. Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Abstract

We study stationary solutions of the system ut=∇(m-1m∇um+u∇φ), m => 1, Δφ = ±u, defined in a bounded domain Ω of ℝn. The physical interpretation of the above system comes from the porous medium theory and semiconductor physics.

Keywords

ENG
electrodiffusion of ions, nonlinear elliptic problem, theory of semiconductors

Bibliography

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Applicationes Mathematicae
1999/26/1
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Pages:
107-119
Main language of publication
English
Received
1998-10-17
Accepted
1998-11-26
Published
1999
Exact and natural sciences