Semilinear elliptic problems in unbounded domains

Aleksandra Orpel

Applicationes Mathematicae (2006)

  • Volume: 33, Issue: 3-4, page 345-354
  • ISSN: 1233-7234

Abstract

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We investigate the existence of positive solutions and their continuous dependence on functional parameters for a semilinear Dirichlet problem. We discuss the case when the domain is unbounded and the nonlinearity is smooth and convex on a certain interval only.

How to cite

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Aleksandra Orpel. "Semilinear elliptic problems in unbounded domains." Applicationes Mathematicae 33.3-4 (2006): 345-354. <http://eudml.org/doc/279641>.

@article{AleksandraOrpel2006,
abstract = {We investigate the existence of positive solutions and their continuous dependence on functional parameters for a semilinear Dirichlet problem. We discuss the case when the domain is unbounded and the nonlinearity is smooth and convex on a certain interval only.},
author = {Aleksandra Orpel},
journal = {Applicationes Mathematicae},
keywords = {elliptic Dirichlet problem; weak solution; maximum principle; fixed point; dependence of solutions on parameters},
language = {eng},
number = {3-4},
pages = {345-354},
title = {Semilinear elliptic problems in unbounded domains},
url = {http://eudml.org/doc/279641},
volume = {33},
year = {2006},
}

TY - JOUR
AU - Aleksandra Orpel
TI - Semilinear elliptic problems in unbounded domains
JO - Applicationes Mathematicae
PY - 2006
VL - 33
IS - 3-4
SP - 345
EP - 354
AB - We investigate the existence of positive solutions and their continuous dependence on functional parameters for a semilinear Dirichlet problem. We discuss the case when the domain is unbounded and the nonlinearity is smooth and convex on a certain interval only.
LA - eng
KW - elliptic Dirichlet problem; weak solution; maximum principle; fixed point; dependence of solutions on parameters
UR - http://eudml.org/doc/279641
ER -

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