# The principal eigenvalue of the ∞-Laplacian with the Neumann boundary condition

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

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

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topPatrizi, 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/197358>.

@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},

month = {5},

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/197358},

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

DA - 2011/5//

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/197358

ER -

## References

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