Positive solutions for sublinear elliptic equations
Colloquium Mathematicum, Tome 92 (2002) no. 1, pp. 141-151.

Voir la notice de l'article provenant de 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.
DOI : 10.4064/cm92-1-12
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

Bogdan Przeradzki 1 ; Robert Sta/nczy 1

1 Faculty of Mathematics University of /L/od/x Banacha 22 90-238 /L/od/x, Poland
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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. http://geodesic.mathdoc.fr/articles/10.4064/cm92-1-12/

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