<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Based on a duality property, we solve the obstacle problem on Sobolev spaces of higher order. We have considered a new type of approximate problem and with the help of the duality we reduce it to a quadratic optimization problem, which can be solved much easier.</p></abstract>

Based on a duality property, we solve the obstacle problem on Sobolev spaces of higher order. We have considered a new type of approximate problem and with the help of the duality we reduce it to a quadratic optimization problem, which can be solved much easier.

A duality-type method for the obstacle problem

Institute ”Simion Stoilow” of Mathematics (Romanian Academy), Calea Grivitei, nr.21, Sector 1, Bucuresti

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"A duality-type method for the obstacle problem"}

Based on a duality property, we solve the obstacle problem on Sobolev spaces of higher order. We have considered a new type of approximate problem and with the...

A duality-type method for the obstacle problem

Published Online: Mar 05, 2014

Page range: 181 - 196

DOI: https://doi.org/10.2478/auom-2013-0051

Keywords
Obstacle problem, Dual problem

This content is open access.

A duality-type method for the obstacle problem

Published Online: Mar 05, 2014

Page range: 181 - 196

DOI: https://doi.org/10.2478/auom-2013-0051

KeywordsObstacle problem, Dual problem

This content is open access.

Keywords
Obstacle problem, Dual problem