Nonlinear elastic membranes involving the p-Laplacian operator
Copyright policy )Nonlinear elastic membranes involving the p-Laplacian operator
Summary: 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.
- University of Cagliari Italy
domain derivative., Membranes, existence, uniqueness, Nonlinear elliptic equations, domain derivative, Optimization of shapes other than minimal surfaces, Boundary value problems for second-order elliptic equations, maximum principle, QA1-939, rearrangements, p-Laplace, \(p\)-Laplace, Mathematics
domain derivative., Membranes, existence, uniqueness, Nonlinear elliptic equations, domain derivative, Optimization of shapes other than minimal surfaces, Boundary value problems for second-order elliptic equations, maximum principle, QA1-939, rearrangements, p-Laplace, \(p\)-Laplace, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!