NONLINEAR ELASTIC MEMBRANES INVOLVING THE P-LAPLACIAN OPERATOR
Fabrizio Cuccu, Behrouz Emamizadeh, Giovanni Porru · DOAJ (DOAJ: Directory of Open Access Journals) · 2006
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.