The N-membranes problem with neumann boundary condition
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 constraint...
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| Other Authors: | , |
| Format: | conferencePaper |
| Language: | eng |
| Published: |
2006
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| Subjects: | |
| Online Access: | http://hdl.handle.net/1822/6005 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/6005 |
| Summary: | 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. |
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