Cuccu, FabrizioEmamizadeh, BehrouzPorru, Giovanni2021-07-162021-07-162006-04-14Cuccu, F., Emamizadeh, B., & Porru, G. (2006). Nonlinear elastic membranes involving the p-Laplacian operator. <i>Electronic Journal of Differential Equations, 2006</i>(49), pp. 1-10.1072-6691https://hdl.handle.net/10877/13922This 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.Text10 pages1 file (.pdf)enAttribution 4.0 Internationalp-LaplaceRearrangementsMaximum principleExistenceUniquenessDomain derivativeArticle