Regularity for Doubly Nonlinear Equations in the Mixed Regime
Abstract
We study the local H\"older continuity of nonnegative solutions to doubly nonlinear equations by introducing a new technique that allows us to treat the cases where the equation is both singular and degenerate, up to specific Barenblatt numbers. Our argument relies on a new integral L1-L1 Harnack estimate, of independent interest.
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