On the well-posedness of a two-phase minimization problem
We prove a series of results concerning the emptiness and non-emptiness of a certain set of Sobolev functions related to the well-posedness of a two-phase minimization problem, involving both the p(x)-norm and the in nity norm. The results, although interesting in their own right, hold the promise o...
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| Format: | other |
| Language: | eng |
| Published: |
2010
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| Online Access: | http://hdl.handle.net/10316/13715 |
| Country: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/13715 |
| Summary: | We prove a series of results concerning the emptiness and non-emptiness of a certain set of Sobolev functions related to the well-posedness of a two-phase minimization problem, involving both the p(x)-norm and the in nity norm. The results, although interesting in their own right, hold the promise of a wider applicability since they can be relevant in the context of other problems where minimization of the p-energy in a part of the domain is coupled with the more local minimization of the L1-norm on another region |
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