On the existence of multiple positive solutions for a certain class of elliptic problems

Aleksandra Orpel. "On the existence of multiple positive solutions for a certain class of elliptic problems." Banach Center Publications 66.1 (2004): 251-262. <http://eudml.org/doc/282062>.

@article{AleksandraOrpel2004,
abstract = {We investigate the existence of solutions for the Dirichlet problem including the generalized balance of a membrane equation. We present a duality theory and variational principle for this problem. As one of the consequences of the duality we obtain some numerical results which give a measure of a duality gap between the primal and dual functional for approximate solutions.},
author = {Aleksandra Orpel},
journal = {Banach Center Publications},
keywords = {nonconvex elliptic Dirichlet problems; positive solutions; duality method; variational method},
language = {eng},
number = {1},
pages = {251-262},
title = {On the existence of multiple positive solutions for a certain class of elliptic problems},
url = {http://eudml.org/doc/282062},
volume = {66},
year = {2004},
}

TY - JOUR
AU - Aleksandra Orpel
TI - On the existence of multiple positive solutions for a certain class of elliptic problems
JO - Banach Center Publications
PY - 2004
VL - 66
IS - 1
SP - 251
EP - 262
AB - We investigate the existence of solutions for the Dirichlet problem including the generalized balance of a membrane equation. We present a duality theory and variational principle for this problem. As one of the consequences of the duality we obtain some numerical results which give a measure of a duality gap between the primal and dual functional for approximate solutions.
LA - eng
KW - nonconvex elliptic Dirichlet problems; positive solutions; duality method; variational method
UR - http://eudml.org/doc/282062
ER -