Schauder type estimates for degenerate or singular elliptic equations with DMO coefficients
Articolo
Data di Pubblicazione:
2024
Abstract:
In this paper, we study degenerate or singular elliptic equations in divergence form.
We establish boundary Schauder type estimates under the conormal boundary condition on the flat boundary, provided that the coefficients satisfy Dini mean oscillation (DMO) type conditions. Additionally, as an application, we derive higher-order boundary Harnack principles for uniformly elliptic equations in divergence form with DMO coefficients.
We establish boundary Schauder type estimates under the conormal boundary condition on the flat boundary, provided that the coefficients satisfy Dini mean oscillation (DMO) type conditions. Additionally, as an application, we derive higher-order boundary Harnack principles for uniformly elliptic equations in divergence form with DMO coefficients.
Tipologia CRIS:
1.1 Articolo in rivista
Keywords:
Degenerate or singular equations; Dini mean oscillation; higher order boundary Harnack principle; Schauder estimates; boundary regularity; the Hopf Lemma.
Elenco autori:
Dong, Hongjie; Jeon, Seongmin; Vita, Stefano
Link alla scheda completa:
Pubblicato in: