Author(s):
Azevedo, Assis 
; Rodrigues, José Francisco ; Santos, Lisa
Date: 2005
Persistent ID: http://hdl.handle.net/1822/2901
Origin: RepositóriUM - Universidade do Minho
Document details
The N-membranes problem for quasilinear degenerate systems
Description
We study the regularity of the solution of the variational inequality for the problem of N-membranes in equilibrium with a degenerate operator of p-Laplacian type, 1 < p < ∞, for which we obtain the corresponding Lewy-Stampacchia inequalities. By considering the problem as a system coupled through the characteristic functions of the sets where at least two membranes are in contact, we analyze the stability of the coincidence sets.
We study the regularity of the solution of the variational inequality for the problem of N-membranes in equilibrium with a degenerate operator of p-Laplacian type, 1 < p < ∞, for which we obtain the corresponding Lewy-Stampacchia inequalities. By considering the problem as a system coupled through the characteristic functions of the sets where at least two membranes are in contact, we analyze the stability of the coincidence sets.
Document Type
Article
Language English
Language English
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