Author(s):
Azevedo, Assis 
; Rodrigues, José Francisco ; Santos, Lisa
Date: 2005
Persistent ID: http://hdl.handle.net/1822/3361
Origin: RepositóriUM - Universidade do Minho
Document details
Remarks on the two and three membranes problem
Description
We consider the problem of finding the equilibrium position of two or three membranes constrained not to pass through each other. For general linear second order elliptic operators with measurable coefficients we prove the Lewy-Stampacchia type inequalities and we establish sufficient conditions on the external forces to obtain the stability of the coincidence sets of the membranes, in analogy with the obstacle problem.
We consider the problem of finding the equilibrium position of two or three membranes constrained not to pass through each other. For general linear second order elliptic operators with measurable coefficients we prove the Lewy-Stampacchia type inequalities and we establish sufficient conditions on the external forces to obtain the stability of the coincidence sets of the membranes, in analogy with the obstacle problem.
Document Type
Conference Object
Language English
Language English
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