Positive solutions for sublinear elliptic equations

Bogdan Przeradzki; Robert Stańczy

Colloquium Mathematicae (2002)

  • Volume: 92, Issue: 1, page 141-151
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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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 -

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