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On a nonlocal elliptic problem

Andrzej Raczyński

Applicationes Mathematicae (1999)

  • Volume: 26, Issue: 1, page 107-119
  • ISSN: 1233-7234

Abstract

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

How to cite

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Raczyński, Andrzej. "On a nonlocal elliptic problem." Applicationes Mathematicae 26.1 (1999): 107-119. <http://eudml.org/doc/219223>.

@article{Raczyński1999,
abstract = {We study stationary solutions of the system $u_t = ∇ ((m-1)/m ∇u^m + u∇φ)$, m => 1, Δφ = ±u, defined in a bounded domain Ω of $ℝ^n$. The physical interpretation of the above system comes from the porous medium theory and semiconductor physics.},
author = {Raczyński, Andrzej},
journal = {Applicationes Mathematicae},
keywords = {electrodiffusion of ions; nonlinear elliptic problem; theory of semiconductors},
language = {eng},
number = {1},
pages = {107-119},
title = {On a nonlocal elliptic problem},
url = {http://eudml.org/doc/219223},
volume = {26},
year = {1999},
}

TY - JOUR
AU - Raczyński, Andrzej
TI - On a nonlocal elliptic problem
JO - Applicationes Mathematicae
PY - 1999
VL - 26
IS - 1
SP - 107
EP - 119
AB - We study stationary solutions of the system $u_t = ∇ ((m-1)/m ∇u^m + u∇φ)$, m => 1, Δφ = ±u, defined in a bounded domain Ω of $ℝ^n$. The physical interpretation of the above system comes from the porous medium theory and semiconductor physics.
LA - eng
KW - electrodiffusion of ions; nonlinear elliptic problem; theory of semiconductors
UR - http://eudml.org/doc/219223
ER -

References

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  17. [16] P. A. Markowich, C. A. Ringhofer and C. Schmeiser, Semiconductor Equations, Springer, Wien-New York, 1990. Zbl0765.35001
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