Nonuniformly elliptic Schauder theory

Nonuniformly elliptic Schauder theory

Local Schauder theory holds in the nonuniformly elliptic setting. Specifically, first derivatives of solutions to nonuniformly elliptic problems are locally Hölder continuous if so are their coefficients.

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Veröffentlicht in:Inventiones mathematicae 2023-12, Vol.234 (3), p.1109-1196
Hauptverfasser: De Filippis, Cristiana, Mingione, Giuseppe
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Theorems
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Zusammenfassung:Local Schauder theory holds in the nonuniformly elliptic setting. Specifically, first derivatives of solutions to nonuniformly elliptic problems are locally Hölder continuous if so are their coefficients.
ISSN:0020-9910
1432-1297
DOI:10.1007/s00222-023-01216-2