Elliptic equations with matrix weights and measurable nonlinearities on nonsmooth domains
Byun S-S, Cho Y, Lee H-S (2024)
Proceedings of the American Mathematical Society 152(7): 2963-2982.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Byun, Sun-Sig;
Cho, Yumi;
Lee, Ho-SikUniBi 
Einrichtung
Abstract / Bemerkung
We study general elliptic equations with singular/degenerate matrix weights and measurable nonlinearities on nonsmooth bounded domains to obtain a global Calderon-Zygmund type estimate under possibly minimal assumptions that the logarithm of the matrix weight has a small bounded mean oscillation (BMO) norm, the nonlinearity is allowed to be merely measurable in one variable but has a small BMO norm in the other variables and that the boundary of the domain is sufficiently flat in Reifenberg sense.
Stichworte
Matrix weight;
gradient estimate;
measurable nonlinearity;
BMO;
Reifenberg domain
Erscheinungsjahr
2024
Zeitschriftentitel
Proceedings of the American Mathematical Society
Band
152
Ausgabe
7
Seite(n)
2963-2982
ISSN
0002-9939
eISSN
1088-6826
Page URI
https://pub.uni-bielefeld.de/record/2990767
Zitieren
Byun S-S, Cho Y, Lee H-S. Elliptic equations with matrix weights and measurable nonlinearities on nonsmooth domains. Proceedings of the American Mathematical Society. 2024;152(7):2963-2982.
Byun, S. - S., Cho, Y., & Lee, H. - S. (2024). Elliptic equations with matrix weights and measurable nonlinearities on nonsmooth domains. Proceedings of the American Mathematical Society, 152(7), 2963-2982. https://doi.org/10.1090/proc/16770
Byun, Sun-Sig, Cho, Yumi, and Lee, Ho-Sik. 2024. “Elliptic equations with matrix weights and measurable nonlinearities on nonsmooth domains”. Proceedings of the American Mathematical Society 152 (7): 2963-2982.
Byun, S. - S., Cho, Y., and Lee, H. - S. (2024). Elliptic equations with matrix weights and measurable nonlinearities on nonsmooth domains. Proceedings of the American Mathematical Society 152, 2963-2982.
Byun, S.-S., Cho, Y., & Lee, H.-S., 2024. Elliptic equations with matrix weights and measurable nonlinearities on nonsmooth domains. Proceedings of the American Mathematical Society, 152(7), p 2963-2982.
S.-S. Byun, Y. Cho, and H.-S. Lee, “Elliptic equations with matrix weights and measurable nonlinearities on nonsmooth domains”, Proceedings of the American Mathematical Society, vol. 152, 2024, pp. 2963-2982.
Byun, S.-S., Cho, Y., Lee, H.-S.: Elliptic equations with matrix weights and measurable nonlinearities on nonsmooth domains. Proceedings of the American Mathematical Society. 152, 2963-2982 (2024).
Byun, Sun-Sig, Cho, Yumi, and Lee, Ho-Sik. “Elliptic equations with matrix weights and measurable nonlinearities on nonsmooth domains”. Proceedings of the American Mathematical Society 152.7 (2024): 2963-2982.
Export
Markieren/ Markierung löschen
Markierte Publikationen
Web of Science
Dieser Datensatz im Web of Science®Suchen in
Google Scholar