Regularity results for mixed local and nonlocal double phase functionals
Byun S-S, Lee H-S, Song K (2025)
Journal of Differential Equations 416: 1528-1563.
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Autor*in
Byun, Sun-Sig;
Lee, Ho-SikUniBi 
;
Song, Kyeong
;
Song, KyeongEinrichtung
Abstract / Bemerkung
We investigate the De Giorgi-Nash-Moser theory for minimizers of mixed local and nonlocal functionals
modeled after
v →
∫
Rn
∫
Rn
|v(x) − v(y)|p
|x − y|n+sp dxdy +
∫
a(x)|Dv|q dx,
where 0 < s < 1 < p ≤ q and a(·) ≥ 0. In particular, we prove Hölder regularity and Harnack inequality
under possibly sharp assumptions on s, p, q and a(·).
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Erscheinungsjahr
2025
Zeitschriftentitel
Journal of Differential Equations
Band
416
Seite(n)
1528-1563
ISSN
00220396
Page URI
https://pub.uni-bielefeld.de/record/2994039
Zitieren
Byun S-S, Lee H-S, Song K. Regularity results for mixed local and nonlocal double phase functionals. Journal of Differential Equations. 2025;416:1528-1563.
Byun, S. - S., Lee, H. - S., & Song, K. (2025). Regularity results for mixed local and nonlocal double phase functionals. Journal of Differential Equations, 416, 1528-1563. https://doi.org/10.1016/j.jde.2024.10.028
Byun, Sun-Sig, Lee, Ho-Sik, and Song, Kyeong. 2025. “Regularity results for mixed local and nonlocal double phase functionals”. Journal of Differential Equations 416: 1528-1563.
Byun, S. - S., Lee, H. - S., and Song, K. (2025). Regularity results for mixed local and nonlocal double phase functionals. Journal of Differential Equations 416, 1528-1563.
Byun, S.-S., Lee, H.-S., & Song, K., 2025. Regularity results for mixed local and nonlocal double phase functionals. Journal of Differential Equations, 416, p 1528-1563.
S.-S. Byun, H.-S. Lee, and K. Song, “Regularity results for mixed local and nonlocal double phase functionals”, Journal of Differential Equations, vol. 416, 2025, pp. 1528-1563.
Byun, S.-S., Lee, H.-S., Song, K.: Regularity results for mixed local and nonlocal double phase functionals. Journal of Differential Equations. 416, 1528-1563 (2025).
Byun, Sun-Sig, Lee, Ho-Sik, and Song, Kyeong. “Regularity results for mixed local and nonlocal double phase functionals”. Journal of Differential Equations 416 (2025): 1528-1563.
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