Some existence theorems for nonlocal elliptic systems. Application to laser plasma

B. Kaźmierczak

Applicationes Mathematicae (2001)

  • Volume: 28, Issue: 3, page 311-327
  • ISSN: 1233-7234

Abstract

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We formulate some existence theorems for systems of elliptic equations with nonlocal terms. The proofs are based on the invariant region method. The results are applied to a multitemperature model of laser sustained plasma.

How to cite

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B. Kaźmierczak. "Some existence theorems for nonlocal elliptic systems. Application to laser plasma." Applicationes Mathematicae 28.3 (2001): 311-327. <http://eudml.org/doc/279530>.

@article{B2001,
abstract = {We formulate some existence theorems for systems of elliptic equations with nonlocal terms. The proofs are based on the invariant region method. The results are applied to a multitemperature model of laser sustained plasma.},
author = {B. Kaźmierczak},
journal = {Applicationes Mathematicae},
keywords = {reaction-diffusion systems; nonlocal terms; a priori estimates; sub- and supersolution method},
language = {eng},
number = {3},
pages = {311-327},
title = {Some existence theorems for nonlocal elliptic systems. Application to laser plasma},
url = {http://eudml.org/doc/279530},
volume = {28},
year = {2001},
}

TY - JOUR
AU - B. Kaźmierczak
TI - Some existence theorems for nonlocal elliptic systems. Application to laser plasma
JO - Applicationes Mathematicae
PY - 2001
VL - 28
IS - 3
SP - 311
EP - 327
AB - We formulate some existence theorems for systems of elliptic equations with nonlocal terms. The proofs are based on the invariant region method. The results are applied to a multitemperature model of laser sustained plasma.
LA - eng
KW - reaction-diffusion systems; nonlocal terms; a priori estimates; sub- and supersolution method
UR - http://eudml.org/doc/279530
ER -

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