The p -Laplace eigenvalue problem as p in a Finsler metric

M. Belloni; Bernhard Kawohl; P. Juutinen

Journal of the European Mathematical Society (2006)

  • Volume: 008, Issue: 1, page 123-138
  • ISSN: 1435-9855

Abstract

top
We consider the p -Laplacian operator on a domain equipped with a Finsler metric. We recall relevant properties of its first eigenfunction for finite p and investigate the limit problem as p .

How to cite

top

Belloni, M., Kawohl, Bernhard, and Juutinen, P.. "The $p$-Laplace eigenvalue problem as $p\rightarrow \infty $ in a Finsler metric." Journal of the European Mathematical Society 008.1 (2006): 123-138. <http://eudml.org/doc/277394>.

@article{Belloni2006,
abstract = {We consider the $p$-Laplacian operator on a domain equipped with a Finsler metric. We recall relevant properties of its first eigenfunction for finite $p$ and investigate the limit problem as $p\rightarrow \infty $.},
author = {Belloni, M., Kawohl, Bernhard, Juutinen, P.},
journal = {Journal of the European Mathematical Society},
keywords = {$p$-Laplace; eigenfunction; Finsler metric; p-Laplacian; eigenfunction; Finsler metric},
language = {eng},
number = {1},
pages = {123-138},
publisher = {European Mathematical Society Publishing House},
title = {The $p$-Laplace eigenvalue problem as $p\rightarrow \infty $ in a Finsler metric},
url = {http://eudml.org/doc/277394},
volume = {008},
year = {2006},
}

TY - JOUR
AU - Belloni, M.
AU - Kawohl, Bernhard
AU - Juutinen, P.
TI - The $p$-Laplace eigenvalue problem as $p\rightarrow \infty $ in a Finsler metric
JO - Journal of the European Mathematical Society
PY - 2006
PB - European Mathematical Society Publishing House
VL - 008
IS - 1
SP - 123
EP - 138
AB - We consider the $p$-Laplacian operator on a domain equipped with a Finsler metric. We recall relevant properties of its first eigenfunction for finite $p$ and investigate the limit problem as $p\rightarrow \infty $.
LA - eng
KW - $p$-Laplace; eigenfunction; Finsler metric; p-Laplacian; eigenfunction; Finsler metric
UR - http://eudml.org/doc/277394
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.