Dirichlet problems without convexity assumption

Aleksandra Orpel. "Dirichlet problems without convexity assumption." Annales Polonici Mathematici 85.3 (2005): 193-210. <http://eudml.org/doc/280722>.

@article{AleksandraOrpel2005,
abstract = {We deal with the existence of solutions of the Dirichlet problem for sublinear and superlinear partial differential inclusions considered as generalizations of the Euler-Lagrange equation for a certain integral functional without convexity assumption. We develop a duality theory and variational principles for this problem. As a consequence of the duality theory we give a numerical version of the variational principles which enables approximation of the solution for our problem.},
author = {Aleksandra Orpel},
journal = {Annales Polonici Mathematici},
keywords = {Dirichlet problem; duality; variational principle; Euler-Lagrange equation},
language = {eng},
number = {3},
pages = {193-210},
title = {Dirichlet problems without convexity assumption},
url = {http://eudml.org/doc/280722},
volume = {85},
year = {2005},
}

TY - JOUR
AU - Aleksandra Orpel
TI - Dirichlet problems without convexity assumption
JO - Annales Polonici Mathematici
PY - 2005
VL - 85
IS - 3
SP - 193
EP - 210
AB - We deal with the existence of solutions of the Dirichlet problem for sublinear and superlinear partial differential inclusions considered as generalizations of the Euler-Lagrange equation for a certain integral functional without convexity assumption. We develop a duality theory and variational principles for this problem. As a consequence of the duality theory we give a numerical version of the variational principles which enables approximation of the solution for our problem.
LA - eng
KW - Dirichlet problem; duality; variational principle; Euler-Lagrange equation
UR - http://eudml.org/doc/280722
ER -