Continuous dependence on function parameters for superlinear Dirichlet problems

Aleksandra Orpel. "Continuous dependence on function parameters for superlinear Dirichlet problems." Colloquium Mathematicae 103.1 (2005): 131-148. <http://eudml.org/doc/283520>.

@article{AleksandraOrpel2005,
abstract = {We discuss the existence of solutions for a certain generalization of the membrane equation and their continuous dependence on function parameters. We apply variational methods and consider the PDE as the Euler-Lagrange equation for a certain integral functional, which is not necessarily convex and coercive. As a consequence of the duality theory we obtain variational principles for our problem and some numerical results concerning approximation of solutions.},
author = {Aleksandra Orpel},
journal = {Colloquium Mathematicae},
keywords = {dependence on parameters; Dirichlet problem; duality; variational principle; Euler-Lagrange equation},
language = {eng},
number = {1},
pages = {131-148},
title = {Continuous dependence on function parameters for superlinear Dirichlet problems},
url = {http://eudml.org/doc/283520},
volume = {103},
year = {2005},
}

TY - JOUR
AU - Aleksandra Orpel
TI - Continuous dependence on function parameters for superlinear Dirichlet problems
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 1
SP - 131
EP - 148
AB - We discuss the existence of solutions for a certain generalization of the membrane equation and their continuous dependence on function parameters. We apply variational methods and consider the PDE as the Euler-Lagrange equation for a certain integral functional, which is not necessarily convex and coercive. As a consequence of the duality theory we obtain variational principles for our problem and some numerical results concerning approximation of solutions.
LA - eng
KW - dependence on parameters; Dirichlet problem; duality; variational principle; Euler-Lagrange equation
UR - http://eudml.org/doc/283520
ER -