Geodesic
Positive solutions of nonlinear elliptic systems
Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 201-212.

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

We study the existence and nonexistence of positive solutions of nonlinear elliptic systems in an annulus with Dirichlet boundary conditions. In particular, $L^∞$ a priori bounds are obtained. We also study a general multiple linear eigenvalue problem on a bounded domain.
DOI : 10.4064/ap-58-2-201-212
Keywords: a priori bounds, nonlinear elliptic systems, Maximum Principle

Robert Dalmasso 1

1 
@article{10_4064_ap_58_2_201_212,
     author = {Robert Dalmasso},
     title = {Positive solutions of nonlinear elliptic systems},
     journal = {Annales Polonici Mathematici},
     pages = {201--212},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {1993},
     doi = {10.4064/ap-58-2-201-212},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-201-212/}
}
TY  - JOUR
AU  - Robert Dalmasso
TI  - Positive solutions of nonlinear elliptic systems
JO  - Annales Polonici Mathematici
PY  - 1993
SP  - 201
EP  - 212
VL  - 58
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-201-212/
DO  - 10.4064/ap-58-2-201-212
LA  - en
ID  - 10_4064_ap_58_2_201_212
ER  - 
%0 Journal Article
%A Robert Dalmasso
%T Positive solutions of nonlinear elliptic systems
%J Annales Polonici Mathematici
%D 1993
%P 201-212
%V 58
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-201-212/
%R 10.4064/ap-58-2-201-212
%G en
%F 10_4064_ap_58_2_201_212
Robert Dalmasso. Positive solutions of nonlinear elliptic systems. Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 201-212. doi : 10.4064/ap-58-2-201-212. http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-201-212/

Cité par Sources :