The principal eigenvalue of the ∞-laplacian with the Neumann boundary condition

Stefania Patrizi

ESAIM: Control, Optimisation and Calculus of Variations (2011)

  • Volume: 17, Issue: 2, page 575-601
  • ISSN: 1292-8119

Abstract

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We prove the existence of a principal eigenvalue associated to the ∞-Laplacian plus lower order terms and the Neumann boundary condition in a bounded smooth domain. As an application we get uniqueness and existence results for the Neumann problem and a decay estimate for viscosity solutions of the Neumann evolution problem.

How to cite

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Patrizi, Stefania. "The principal eigenvalue of the ∞-laplacian with the Neumann boundary condition." ESAIM: Control, Optimisation and Calculus of Variations 17.2 (2011): 575-601. <http://eudml.org/doc/272780>.

@article{Patrizi2011,
abstract = {We prove the existence of a principal eigenvalue associated to the ∞-Laplacian plus lower order terms and the Neumann boundary condition in a bounded smooth domain. As an application we get uniqueness and existence results for the Neumann problem and a decay estimate for viscosity solutions of the Neumann evolution problem.},
author = {Patrizi, Stefania},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {∞-laplacian; Neumann boundary condition; principal eigenvalue; viscosity solutions; -Laplacian},
language = {eng},
number = {2},
pages = {575-601},
publisher = {EDP-Sciences},
title = {The principal eigenvalue of the ∞-laplacian with the Neumann boundary condition},
url = {http://eudml.org/doc/272780},
volume = {17},
year = {2011},
}

TY - JOUR
AU - Patrizi, Stefania
TI - The principal eigenvalue of the ∞-laplacian with the Neumann boundary condition
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2011
PB - EDP-Sciences
VL - 17
IS - 2
SP - 575
EP - 601
AB - We prove the existence of a principal eigenvalue associated to the ∞-Laplacian plus lower order terms and the Neumann boundary condition in a bounded smooth domain. As an application we get uniqueness and existence results for the Neumann problem and a decay estimate for viscosity solutions of the Neumann evolution problem.
LA - eng
KW - ∞-laplacian; Neumann boundary condition; principal eigenvalue; viscosity solutions; -Laplacian
UR - http://eudml.org/doc/272780
ER -

References

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