Higher differentiability for the fractional p-Laplacian
Diening L, Kim K, Lee H-S, Nowak SN (2025)
Mathematische Annalen 391: 5631–5693.
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Abstract / Bemerkung
In this work, we study the higher differentiability of solutions to the
inhomogeneous fractional $p$-Laplace equation under different regularity
assumptions on the data. In the superquadratic case, we extend and sharpen
several previous results, while in the subquadratic regime our results
constitute completely novel developments even in the homogeneous case. In
particular, in the local limit our results are consistent with well-known
higher differentiability results for the standard inhomogeneous $p$-Laplace
equation. All of our main results remain valid in the vectorial context of
fractional $p$-Laplace systems.
Erscheinungsjahr
2025
Zeitschriftentitel
Mathematische Annalen
Band
391
Seite(n)
5631–5693
Page URI
https://pub.uni-bielefeld.de/record/2990865
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Diening L, Kim K, Lee H-S, Nowak SN. Higher differentiability for the fractional p-Laplacian. Mathematische Annalen. 2025;391:5631–5693.
Diening, L., Kim, K., Lee, H. - S., & Nowak, S. N. (2025). Higher differentiability for the fractional p-Laplacian. Mathematische Annalen, 391, 5631–5693. https://doi.org/10.1007/s00208-024-03057-7
Diening, Lars, Kim, Kyeongbae, Lee, Ho-Sik, and Nowak, Simon Noah. 2025. “Higher differentiability for the fractional p-Laplacian”. Mathematische Annalen 391: 5631–5693.
Diening, L., Kim, K., Lee, H. - S., and Nowak, S. N. (2025). Higher differentiability for the fractional p-Laplacian. Mathematische Annalen 391, 5631–5693.
Diening, L., et al., 2025. Higher differentiability for the fractional p-Laplacian. Mathematische Annalen, 391, p 5631–5693.
L. Diening, et al., “Higher differentiability for the fractional p-Laplacian”, Mathematische Annalen, vol. 391, 2025, pp. 5631–5693.
Diening, L., Kim, K., Lee, H.-S., Nowak, S.N.: Higher differentiability for the fractional p-Laplacian. Mathematische Annalen. 391, 5631–5693 (2025).
Diening, Lars, Kim, Kyeongbae, Lee, Ho-Sik, and Nowak, Simon Noah. “Higher differentiability for the fractional p-Laplacian”. Mathematische Annalen 391 (2025): 5631–5693.
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