Nonlinear elastic membranes involving the p-Laplacian operator
Date
2006-04-14
Authors
Cuccu, Fabrizio
Emamizadeh, Behrouz
Porru, Giovanni
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
p-Laplace, Rearrangements, Maximum principle, Existence, Uniqueness, Domain derivative
Citation
Cuccu, F., Emamizadeh, B., & Porru, G. (2006). Nonlinear elastic membranes involving the p-Laplacian operator. <i>Electronic Journal of Differential Equations, 2006</i>(49), pp. 1-10.
Rights
Attribution 4.0 International