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The fractional p-Laplacian on hyperbolic spaces
- Kim, Jongmyeong;
- Kim, Minhyun;
- Lee, Kiahm
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0초록
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(-).
키워드
fractional p-Laplacian; hyperbolic space; pointwise convergence; EXTENSION PROBLEM; HEAT KERNEL; INEQUALITIES; REGULARITY
- 제목
- The fractional p-Laplacian on hyperbolic spaces
- 저자
- Kim, Jongmyeong; Kim, Minhyun; Lee, Kiahm
- 발행일
- 2026-01
- 유형
- Article
- 저널명
- MATHEMATICS IN ENGINEERING
- 권
- 8
- 호
- 1
- 페이지
- 70 ~ 97