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Regularity results
for generalized double phase functionals
Sun-Sig Byun and Jehan Oh |
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Vol. 13 (2020), No. 5, 1269–1300
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Abstract |
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We consider a wide class of functionals with the property of changing their growth and ellipticity properties according to the modulating coefficients in the framework of Musielak–Orlicz spaces. In particular, we provide an optimal condition on the modulating coefficient to establish the Hölder regularity and Harnack inequality for quasiminimizers of the generalized double phase functional with -growth for two Young functions and . |
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Keywords
double phase functional, Lavrentiev phenomenon, nonstandard
growth, quasiminimizer, regularity
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Mathematical Subject Classification 2010
Primary: 49N60
Secondary: 35B65, 35J20
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Milestones
Received: 15 August 2017
Revised: 30 April 2019
Accepted: 11 June 2019
Published: 27 July 2020
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Authors |
| Sun-Sig Byun | |
| Department of Mathematical Sciences
and Research Institute of Mathematics Seoul National University Seoul South Korea |
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| Jehan Oh | |
| Department of Mathematics Kyungpook National University Daegu South Korea |
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