Positive solutions for sublinear elliptic equations
Colloquium Mathematicum, Tome 92 (2002) no. 1, pp. 141-151
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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
@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 -
Bogdan Przeradzki; Robert Sta/nczy. Positive solutions for sublinear elliptic equations. Colloquium Mathematicum, Tome 92 (2002) no. 1, pp. 141-151. doi: 10.4064/cm92-1-12
Cité par Sources :