Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain

Jongkeun Choi; Hongjie Dong; Zongyuan Li

doi:10.1007/s00245-019-09600-2

Author(s)

Jongkeun Choi
Hongjie Dong
Zongyuan Li

Detail(s)

Original language	English
Pages (from-to)	1547-1583
Journal / Publication	Applied Mathematics & Optimization
Volume	83
Issue number	3
Online published	31 Jul 2019
Publication status	Published - Jun 2021
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1007/s00245-019-09600-2 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85069969963&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(19a7ad98-9259-4e69-8eee-3d11d8ad86e1).html

Abstract

We study the divergence form second-order elliptic equations with mixed Dirichlet-conormal boundary conditions. The unique W^1,^p solvability is obtained with p being in the optimal range (4/3, 4). The leading coefficients are assumed to have small mean oscillations and the boundary of domain is Reifenberg flat. We also assume that the two boundary conditions are separated by some Reifenberg flat set of co-dimension 2 on the boundary. © Springer Science+Business Media, LLC, part of Springer Nature 2019.

Research Area(s)

Mixed boundary value problem, Second-order elliptic equations of divergence form, Reifenberg flat domains, W1,p estimate and solvability

Citation Format(s)

[ RIS ] [ BibTeX ]

Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain. / Choi, Jongkeun; Dong, Hongjie; Li, Zongyuan.
In: Applied Mathematics & Optimization, Vol. 83, No. 3, 06.2021, p. 1547-1583.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Choi, J, Dong, H & Li, Z 2021, 'Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain', Applied Mathematics & Optimization, vol. 83, no. 3, pp. 1547-1583. https://doi.org/10.1007/s00245-019-09600-2

Choi, J., Dong, H., & Li, Z. (2021). Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain. Applied Mathematics & Optimization, 83(3), 1547-1583. https://doi.org/10.1007/s00245-019-09600-2

Choi J, Dong H, Li Z. Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain. Applied Mathematics & Optimization. 2021 Jun;83(3):1547-1583. Epub 2019 Jul 31. doi: 10.1007/s00245-019-09600-2

Choi, Jongkeun ; Dong, Hongjie ; Li, Zongyuan. / Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain. In: Applied Mathematics & Optimization. 2021 ; Vol. 83, No. 3. pp. 1547-1583.