On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type
Applicationes Mathematicae, Tome 24 (1997) no. 1, pp. 97-107.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/am-24-1-97-107
Keywords: comparison principle, anisotropic heat conduction, nonlinear boundary value problem

Michal Křížek 1 ; Liping Liu 1

1
@article{10_4064_am_24_1_97_107,
     author = {Michal K\v{r}{\'\i}\v{z}ek and Liping Liu},
     title = {On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type},
     journal = {Applicationes Mathematicae},
     pages = {97--107},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {1997},
     doi = {10.4064/am-24-1-97-107},
     zbl = {0858.35008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am-24-1-97-107/}
}
TY  - JOUR
AU  - Michal Křížek
AU  - Liping Liu
TI  - On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type
JO  - Applicationes Mathematicae
PY  - 1997
SP  - 97
EP  - 107
VL  - 24
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am-24-1-97-107/
DO  - 10.4064/am-24-1-97-107
LA  - en
ID  - 10_4064_am_24_1_97_107
ER  - 
%0 Journal Article
%A Michal Křížek
%A Liping Liu
%T On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type
%J Applicationes Mathematicae
%D 1997
%P 97-107
%V 24
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am-24-1-97-107/
%R 10.4064/am-24-1-97-107
%G en
%F 10_4064_am_24_1_97_107
Michal Křížek; Liping Liu. On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type. Applicationes Mathematicae, Tome 24 (1997) no. 1, pp. 97-107. doi : 10.4064/am-24-1-97-107. http://geodesic.mathdoc.fr/articles/10.4064/am-24-1-97-107/

Cité par Sources :