# The $p$-Laplace eigenvalue problem as $p\to \infty $ 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

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topBelloni, 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 -

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