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Bounded minimizers of double phase problems at nearly linear growth

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abstract

Bounded minimizers of double phase problems at nearly linear growth have locally H\"older continuous gradient within the sharp maximal nonuniformity range $q<1+\alpha$.

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math.AP 1

years

2026 1

verdicts

UNVERDICTED 1

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Intrinsic Schauder estimates at nearly linear growth

math.AP · 2026-05-31 · unverdicted · novelty 6.0

Develops a nonlinear potential theoretic framework for intrinsic Schauder estimates in variational problems at nearly linear growth that covers variable exponent, double, and multi-phase settings.

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  • Intrinsic Schauder estimates at nearly linear growth math.AP · 2026-05-31 · unverdicted · none · ref 27 · internal anchor

    Develops a nonlinear potential theoretic framework for intrinsic Schauder estimates in variational problems at nearly linear growth that covers variable exponent, double, and multi-phase settings.