Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 49, pp. 1-10.

Title: Nonlinear elastic membranes involving the p-Laplacian operator
       
Authors: Fabrizio Cuccu  (Univ. di Cagliari, Italy)
         Behrouz Emamizadeh (Petroleum Institute, Abu Dhabi, UAE)
	 Giovanni Porru  (Univ. di Cagliari, Italy)

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.