The existence of a positive radial solution for a sublinear elliptic boundary value problem in an exterior domain is proved, by the use of a cone compression fixed point theorem. The existence of a nonradial, positive solution for the corresponding nonradial problem is obtained by the sub- and supersolution method, under an additional monotonicity assumption.
Keywords:
existence positive radial solution sublinear elliptic boundary value problem exterior domain proved cone compression fixed point theorem existence nonradial positive solution corresponding nonradial problem obtained sub supersolution method under additional monotonicity assumption
Affiliations des auteurs :
Bogdan Przeradzki 
1
;
Robert Sta/nczy 
1
1
Faculty of Mathematics University of /L/od/x Banacha 22 90-238 /L/od/x, Poland
@article{10_4064_cm92_1_12,
author = {Bogdan Przeradzki and Robert Sta/nczy},
title = {Positive solutions for sublinear elliptic equations},
journal = {Colloquium Mathematicum},
pages = {141--151},
year = {2002},
volume = {92},
number = {1},
doi = {10.4064/cm92-1-12},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm92-1-12/}
}
TY - JOUR
AU - Bogdan Przeradzki
AU - Robert Sta/nczy
TI - Positive solutions for sublinear elliptic equations
JO - Colloquium Mathematicum
PY - 2002
SP - 141
EP - 151
VL - 92
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4064/cm92-1-12/
DO - 10.4064/cm92-1-12
LA - en
ID - 10_4064_cm92_1_12
ER -