Brezis–Van Schaftingen–Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo–Nirenberg inequalities
Let X be a ball Banach function space on R n. In this article, under some mild assumptions
about both X and the boundedness of the Hardy–Littlewood maximal operator on the …
about both X and the boundedness of the Hardy–Littlewood maximal operator on the …
p-Bessel Pairs, Hardy's Identities and Inequalities and Hardy–Sobolev Inequalities with Monomial Weights
In this paper, we first prove a general symmetrization principle for the Hardy type inequality
with non-radial weights of the form A xx 1 P 1… x NPN (Theorem 1.1). Using this …
with non-radial weights of the form A xx 1 P 1… x NPN (Theorem 1.1). Using this …
Factorizations and Hardy's type identities and inequalities on upper half spaces
Motivated and inspired by the improved Hardy inequalities studied in their well-known works
by Brezis and Vázquez (Rev Mat Univ Complut Madrid 10: 443–469, 1997) and Brezis and …
by Brezis and Vázquez (Rev Mat Univ Complut Madrid 10: 443–469, 1997) and Brezis and …
Toward Weighted Lorentz–Sobolev Capacities from Caffarelli–Silvestre Extensions
X Fu, J Xiao, Q Xiong - The Journal of Geometric Analysis, 2024 - Springer
Getting inspired by the Caffarelli–Silvestre extensions, this paper investigates the weighted
Lorentz–Sobolev capacities and their capacitary strong inequalities with applications to the …
Lorentz–Sobolev capacities and their capacitary strong inequalities with applications to the …
Divergent operator with degeneracy and related sharp inequalities
In this paper we classify all nonnegative extremal functions to a sharp weighted Sobolev
inequality on the upper half space, which involves a divergent operator with degeneracy on …
inequality on the upper half space, which involves a divergent operator with degeneracy on …
Sharp affine weighted 𝐿^{𝑝} Sobolev type inequalities
We establish sharp affine weighted $ L^ p $ Sobolev type inequalities by using the $ L_p $
Busemann–Petty centroid inequality proved by Lutwak, Yang, and Zhang. Our approach …
Busemann–Petty centroid inequality proved by Lutwak, Yang, and Zhang. Our approach …
Sharp Trudinger-Moser inequalities with monomial weights
N Lam - Nonlinear Differential Equations and Applications …, 2017 - Springer
In this paper, we will study the Trudinger-Moser inequalities with the monomial weight\left|
x_ 1\right|^ A_ 1...\left| x_ N\right|^ A_ N x 1 A 1... x NAN in R^ N RN with A_ 1 ≥ 0,..., A_ N …
x_ 1\right|^ A_ 1...\left| x_ N\right|^ A_ N x 1 A 1... x NAN in R^ N RN with A_ 1 ≥ 0,..., A_ N …
The sharp Gagliardo--Nirenberg--Sobolev inequality in quantitative form
VH Nguyen - arXiv preprint arXiv:1702.01039, 2017 - arxiv.org
Using a dimension reduction argument and a stability version of the weighted Sobolev
inequality on half space recently proved by Seuffert, we establish, in this paper, some …
inequality on half space recently proved by Seuffert, we establish, in this paper, some …
[HTML][HTML] An extension of the Bianchi–Egnell stability estimate to Bakry, Gentil, and Ledoux's generalization of the Sobolev inequality to continuous dimensions
F Seuffert - Journal of Functional Analysis, 2017 - Elsevier
This paper extends a stability estimate of the Sobolev Inequality established by Bianchi and
Egnell in [3]. Bianchi and Egnell's Stability Estimate answers the question raised by H …
Egnell in [3]. Bianchi and Egnell's Stability Estimate answers the question raised by H …
[HTML][HTML] A supercritical Sobolev type inequality in higher order Sobolev spaces and related higher order elliptic problems
QA Ngô - Journal of Differential Equations, 2020 - Elsevier
A Sobolev type embedding for radially symmetric functions on the unit ball B in R n, n≥ 3,
into the variable exponent Lebesgue space L 2⋆+| x| α (B), 2⋆= 2 n/(n− 2), α> 0, is known …
into the variable exponent Lebesgue space L 2⋆+| x| α (B), 2⋆= 2 n/(n− 2), α> 0, is known …