Nonuniformly elliptic Schauder theory-Reference-Cited by-同舟云学术

Nonuniformly elliptic Schauder theory

Published:2023-09-27 Issue:3 Volume:234 Page:1109-1196
ISSN:0020-9910
Container-title:Inventiones mathematicae
language:en
Short-container-title:Invent. math.

Author:

De Filippis Cristiana,Mingione Giuseppe

Abstract

AbstractLocal 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.

Funder

Università degli Studi di Parma

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00222-023-01216-2.pdf

Reference92 articles.

1. Acerbi, E., Mingione, G.: Regularity results for a class of functionals with non-standard growth. Arch. Ration. Mech. Anal. 156, 121–140 (2001)

2. Baroni, P., Colombo, M., Mingione, G.: Regularity for general functionals with double phase. Calc. Var. Partial Differ. Equ. 57, 62 (2018)

3. Beck, L., Mingione, G.: Lipschitz bounds and nonuniform ellipticity. Commun. Pure Appl. Math. 73, 944–1034 (2020)

4. Bella, P., Schäffner, M.: On the regularity of minimizers for scalar integral functionals with $(p,q)$-growth. Anal. PDE 13, 2241–2257 (2020)

5. Bella, P., Schäffner, M.: Local boundedness and Harnack inequality for solutions of linear nonuniformly elliptic equations. Commun. Pure Appl. Math. 74, 453–477 (2021)

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