The N-membranes problem with neumann boundary condition

• Autor(es): Azevedo, Assis ; Rodrigues, José Francisco ; Santos, Lisa
• Data: 2006
• Identificador Persistente: http://hdl.handle.net/1822/6005
• Origem: RepositóriUM - Universidade do Minho
• Assunto(s): Membranes; Coincidence sets
• Tipo de Documento: Documento de conferência
• Idioma: Inglês

Descrição

We consider the problem of finding the equilibrium position of N membranes constrained not to pass through each other, under prescribed volumic forces and boundary tensions. This model corresponds to solve variationally a N-system for linear second order elliptic equations with sequential constraints. We obtain interior and boundary Lewy-Stampacchia type inequalities for the respective solution and we establish the conditions for stability in measure of the interior contact zones of the membranes.