Nonlinear elastic membranes involving the p-laplacian operator

Fabrizio Cuccu; Behrouz Emamizadeh; Giovanni Porru

Nonlinear elastic membranes involving the p-laplacian operator

Fabrizio Cuccu, Behrouz Emamizadeh, Giovanni Porru

Research output: Journal Publication › Article › peer-review

32 Citations (Scopus)

Abstract

This paper concerns an optimization problem related to the Poisson equation for the p-Laplace operator, subject to homogeneous Dirichlet boundary conditions. Physically the Poisson equation models, for example, the deformation of a nonlinear elastic membrane which is fixed along the boundary, under load. A particular situation where the load is represented by a characteristic function is investigated.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Electronic Journal of Differential Equations
Volume	2006
Publication status	Published - 14 Apr 2006
Externally published	Yes

Keywords

Domain derivative
Existence
Maximum principle
P-Laplace
Rearrangements
Uniqueness

ASJC Scopus subject areas

Analysis

Cite this

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title = "Nonlinear elastic membranes involving the p-laplacian operator",

abstract = "This paper concerns an optimization problem related to the Poisson equation for the p-Laplace operator, subject to homogeneous Dirichlet boundary conditions. Physically the Poisson equation models, for example, the deformation of a nonlinear elastic membrane which is fixed along the boundary, under load. A particular situation where the load is represented by a characteristic function is investigated.",

keywords = "Domain derivative, Existence, Maximum principle, P-Laplace, Rearrangements, Uniqueness",

author = "Fabrizio Cuccu and Behrouz Emamizadeh and Giovanni Porru",

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AU - Cuccu, Fabrizio

AU - Emamizadeh, Behrouz

AU - Porru, Giovanni

PY - 2006/4/14

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N2 - This paper concerns an optimization problem related to the Poisson equation for the p-Laplace operator, subject to homogeneous Dirichlet boundary conditions. Physically the Poisson equation models, for example, the deformation of a nonlinear elastic membrane which is fixed along the boundary, under load. A particular situation where the load is represented by a characteristic function is investigated.

AB - This paper concerns an optimization problem related to the Poisson equation for the p-Laplace operator, subject to homogeneous Dirichlet boundary conditions. Physically the Poisson equation models, for example, the deformation of a nonlinear elastic membrane which is fixed along the boundary, under load. A particular situation where the load is represented by a characteristic function is investigated.

KW - Domain derivative

KW - Existence

KW - Maximum principle

KW - P-Laplace

KW - Rearrangements

KW - Uniqueness

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M3 - Article

AN - SCOPUS:33645775043

SN - 1072-6691

VL - 2006

SP - 1

EP - 10

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Nonlinear elastic membranes involving the p-laplacian operator

Abstract

Keywords

ASJC Scopus subject areas

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