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On the regularity of
minimizers for scalar integral functionals with
$(p,q)$-growth
Peter Bella and Mathias Schäffner |
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Vol. 13 (2020), No. 7, 2241–2257
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Abstract |
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We revisit the question of regularity for minimizers of scalar autonomous integral functionals with so-called -growth. In particular, we establish Lipschitz regularity under the condition for , improving a classical result due to Marcellini (J. Differential Equations 90:1 (1991), 1–30). |
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Keywords
nonuniformly elliptic equations, local Lipschitz
continuity, $(p,q)$-growth, nonstandard growth conditions
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Mathematical Subject Classification 2010
Primary: 35B65
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Milestones
Received: 18 May 2019
Revised: 10 July 2019
Accepted: 6 September 2019
Published: 10 November 2020
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Authors |
| Peter Bella | |
| Fakultät für Mathematik Technische Universität Dortmund Dortmund Germany |
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| Mathias Schäffner | |
| Mathematisches Institut Universität Leipzig Leipzig Germany |
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