Fabrizio Cuccu, Behrouz Emamizadeh, Giovanni Porru
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.
Submitted February 2, 2006. Published April 14, 2006.
Math Subject Classifications: 35J20, 35B38, 49Q10.
Key Words: p-Laplace; rearrangements; maximum principle;
existence; uniqueness; domain derivative.
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Fabrizio Cuccu Mathematics Department Universitá di Cagliari Via Ospedale 72, 09124 Cagliari, Italy email: fcuccu@unica.it |
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Behrouz Emamizadeh Department of Mathematics The Petroleum Institute P. O. Box 2533, Abu Dhabi, UAE email: bemamizadeh@pi.ac.ae |
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Giovanni Porru Mathematics Department Universitá di Cagliari Via Ospedale 72, 09124 Cagliari, Italy email: porru@unica.it |
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