Positive solutions for sublinear elliptic equations
Volume 92 / 2002
Colloquium Mathematicum 92 (2002), 141-151
MSC: 35B35, 35J65.
DOI: 10.4064/cm92-1-12
Abstract
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.
