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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.
Bogdan Przeradzki, and Robert Stańczy. "Positive solutions for sublinear elliptic equations." Colloquium Mathematicae 92.1 (2002): 141-151. <http://eudml.org/doc/284253>.
@article{BogdanPrzeradzki2002, 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.}, author = {Bogdan Przeradzki, Robert Stańczy}, journal = {Colloquium Mathematicae}, keywords = {cone compression fixed point theorem; sub- and supersolution method}, language = {eng}, number = {1}, pages = {141-151}, title = {Positive solutions for sublinear elliptic equations}, url = {http://eudml.org/doc/284253}, volume = {92}, year = {2002}, }
TY - JOUR AU - Bogdan Przeradzki AU - Robert Stańczy TI - Positive solutions for sublinear elliptic equations JO - Colloquium Mathematicae PY - 2002 VL - 92 IS - 1 SP - 141 EP - 151 AB - 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. LA - eng KW - cone compression fixed point theorem; sub- and supersolution method UR - http://eudml.org/doc/284253 ER -