Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures
Byun S-S, Cho N, Lee H-S (2022)
International Mathematics Research Notices 2022(13): 9722-9754.
Zeitschriftenaufsatz
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Autor*in
Byun, Sun-Sig;
Cho, Namkyeong;
Lee, Ho-SikUniBi 
Abstract / Bemerkung
**Abstract**
We prove maximal differentiability for the gradient of solutions to a certain type of nonlinear elliptic equations with a measure on the right-hand side. Our results generalize the limiting case of Calderón–Zygmund theory for an elliptic equation with $p$-growth to the case of Orlicz growth.
We prove maximal differentiability for the gradient of solutions to a certain type of nonlinear elliptic equations with a measure on the right-hand side. Our results generalize the limiting case of Calderón–Zygmund theory for an elliptic equation with $p$-growth to the case of Orlicz growth.
Erscheinungsjahr
2022
Zeitschriftentitel
International Mathematics Research Notices
Band
2022
Ausgabe
13
Seite(n)
9722-9754
ISSN
1073-7928
eISSN
1687-0247
Page URI
https://pub.uni-bielefeld.de/record/2988045
Zitieren
Byun S-S, Cho N, Lee H-S. Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures. International Mathematics Research Notices. 2022;2022(13):9722-9754.
Byun, S. - S., Cho, N., & Lee, H. - S. (2022). Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures. International Mathematics Research Notices, 2022(13), 9722-9754. https://doi.org/10.1093/imrn/rnaa391
Byun, Sun-Sig, Cho, Namkyeong, and Lee, Ho-Sik. 2022. “Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures”. International Mathematics Research Notices 2022 (13): 9722-9754.
Byun, S. - S., Cho, N., and Lee, H. - S. (2022). Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures. International Mathematics Research Notices 2022, 9722-9754.
Byun, S.-S., Cho, N., & Lee, H.-S., 2022. Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures. International Mathematics Research Notices, 2022(13), p 9722-9754.
S.-S. Byun, N. Cho, and H.-S. Lee, “Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures”, International Mathematics Research Notices, vol. 2022, 2022, pp. 9722-9754.
Byun, S.-S., Cho, N., Lee, H.-S.: Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures. International Mathematics Research Notices. 2022, 9722-9754 (2022).
Byun, Sun-Sig, Cho, Namkyeong, and Lee, Ho-Sik. “Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures”. International Mathematics Research Notices 2022.13 (2022): 9722-9754.
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