Nonlinear elastic membranes involving the p-Laplacian operator
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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.
CitationCuccu, F., Emamizadeh, B., & Porru, G. (2006). Nonlinear elastic membranes involving the p-Laplacian operator. Electronic Journal of Differential Equations, 2006(49), pp. 1-10.
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