Regularity for minimizers for functionals of double phase with variable exponents
The functionals of double phase type are introduced in the epoch-making paper by Colombo-Mingione [ ] for constants and , and investigated by them and Baroni. They obtained sharp regularity results for minimizers of such functionals. In this paper we treat the case that the exponents are functions o...
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| Published in | Advances in nonlinear analysis Vol. 9; no. 1; pp. 710 - 728 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
De Gruyter
20.07.2019
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| Online Access | Get full text |
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| Summary: | The functionals of double phase type
are introduced in the epoch-making paper by Colombo-Mingione [
] for constants
and
, and investigated by them and Baroni. They obtained sharp regularity results for minimizers of such functionals. In this paper we treat the case that the exponents are functions of
and partly generalize their regularity results. |
|---|---|
| ISSN: | 2191-950X 2191-950X |
| DOI: | 10.1515/anona-2020-0022 |