Journal
ANALYSIS & PDE
Volume 13, Issue 7, Pages 2241-2257Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/apde.2020.13.2241
Keywords
nonuniformly elliptic equations; local Lipschitz continuity; (p, q)-growth; nonstandard growth conditions
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Funding
- German Science Foundation DFG [BE 5922/1-1]
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We revisit the question of regularity for minimizers of scalar autonomous integral functionals with so-called (p, q)-growth. In particular, we establish Lipschitz regularity under the condition q/p < 1 + 2/n-1 for n >= 3, improving a classical result due to Marcellini (J. Differential Equations 90:1 (1991), 1-30).
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