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The fractional p-Laplacian on hyperbolic spacesopen access
- Authors
- Kim, Jongmyeong; Kim, Minhyun; Lee, Kiahm
- Issue Date
- Jan-2026
- Publisher
- American Institute of Mathematical Sciences
- Keywords
- fractional p-Laplacian; hyperbolic space; pointwise convergence
- Citation
- Mathematics in Engineering, v.8, no.1, pp 70 - 97
- Pages
- 28
- Indexed
- SCIE
SCOPUS
- Journal Title
- Mathematics in Engineering
- Volume
- 8
- Number
- 1
- Start Page
- 70
- End Page
- 97
- ISSN
- 2640-3501
2640-3501
- Abstract
- We present three equivalent definitions of the fractional p-Laplacian (-Delta(n)(H))(s)(p), 0 < s < 1, p > 1, with normalizing constants, on hyperbolic spaces. The explicit values of the constants enable us to study the convergence of the fractional p-Laplacian to the p-Laplacian as s -> 1(-).
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Related Researcher
- Kim, Minhyun
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)