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

Aleksandra Orpel

Banach Center Publications (2004)

  • Volume: 66, Issue: 1, page 251-262
  • ISSN: 0137-6934

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.