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arXiv · 2201.07369

Nonuniformly elliptic Schauder theory

Cristiana De Filippis·Giuseppe Mingione
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Abstract

Local Schauder estimates hold in the nonuniformly elliptic setting. Specifically, first derivatives of solutions to nonuniformly elliptic variational problems and elliptic equations are locally H\"older continuous, provided coefficients are locally H\"older continuous.

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Cristiana De Filippis, Giuseppe Mingione. 2022-01-19. Nonuniformly elliptic Schauder theory. https://arxiv.org/abs/2201.07369

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