Author(s):
Azevedo, Assis 
; Rodrigues, José Francisco ; Santos, Lisa
Date: 2006
Persistent ID: http://hdl.handle.net/1822/6005
Origin: RepositóriUM - Universidade do Minho
Subject(s): Membranes; Coincidence sets
Document details
The N-membranes problem with neumann boundary condition
Description
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.
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.
Document Type
Conference Object
Language English
Language English
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