Anisotropic versions of the Brezis-Van Schaftingen-Yung approach at s = 1 and s = 0
نویسندگان
چکیده
In 2014, Ludwig showed the limiting behavior of anisotropic Gagliardo s-seminorm a function f as s→1− and s→0+, which extend results due to Bourgain-Brezis-Mironescu (BBM) Maz'ya-Shaposhnikova (MS) respectively. Recently, Brezis, Van Schaftingen Yung provided different approach by replacing strong Lp norm in weak quasinorm. They characterized case for s=1 that complements BBM formula. The corresponding MS formula s=0 was later established first author. this paper, we follow Brezis-Van Schaftingen-Yung show versions s=0. Our result generalizes work Schaftingen, author Ludwig.
منابع مشابه
Evolutionary Biology Journal of I S S N 1 0 1 0 -0 6 1 X
Cover photo: A vigilant yellow-bellied marmot (Marmota flaviventris) at the Rocky Mountain Biological Laboratory, Colorado, USA. Blumstein et al. (pp. 879–887) report that the time allocated to anti-predator vigilance in marmots is heritable and is weakly correlated with locomotor performance. Interestingly, faster marmots allocate more time to vigilance while slower marmots allocate less time....
متن کامل1 5 Se p 20 08 Hyperfine induced 1 s 2 s 1 S 0 → 1 s 2 1 S 0 M 1 transition of He - like ions
Hyperfine induced 1s2s S0 → 1s 2 S0 M1 transition probabilities of He-like ions have been calculated from relativistic configuration interaction wavefunctions including the frequency independent Breit interaction and QED effects. Present results for Eu and Gd are in good agreement with previous calculations [Phys. Rev. A 63, 054105 (2001)]. Electronic data are given in terms of a general scalin...
متن کامل0 s Decays at Belle
unique opportunity to study the poorly-known Bs meson. Three analyses, using a sample of 23.6 fb−1, are presented. We report the first observation of the three dominant exclusive Bs decays, Bs → D∗− s π+, Bs → Ds ρ+ and Bs → D∗− s ρ+, the first observation of the CP-eigenstate decay Bs → J/ψ η , and the results from a study of the charmless Bs → K+K−, Bs → K+π−, Bs → π+π− and Bs → K0 S K0 S dec...
متن کاملVan der Waerden’s Theorem on Homothetic Copies of {1, 1 + s, 1 + s + t}
Abstract For all positive integers s and t, Brown et. al [1] defined f(s, t) to be the smallest positive integer N such that every 2-coloring of [1, N ] has a monochromatic homothetic copy of {1, 1+ s, 1+ s+ t}. They proved that f(s, t) ≤ 4(s + t) + 1 for all s, t and that the equality holds in the case where both s/g 6≡ 0 (mod 4) and t/g 6≡ 0 (mod 4) with g = gcd(s, t) and in many other cases....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2023
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2023.127156