A free boundary optimization problem for the ∞-Laplacian
We study a free boundary optimization problem in heat conduction, ruled by the infinity–Laplace operator, with lower temperature bound and a volume constraint. We obtain existence and regularity results and derive geometric properties for the solution and the free boundaries.
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| Format: | article |
| Language: | eng |
| Published: |
2017
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| Online Access: | http://hdl.handle.net/10316/43765 |
| Country: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/43765 |
| Summary: | We study a free boundary optimization problem in heat conduction, ruled by the infinity–Laplace operator, with lower temperature bound and a volume constraint. We obtain existence and regularity results and derive geometric properties for the solution and the free boundaries. |
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