On the sharp constant in the Bianchi–Egnell stability inequality
T König - Bulletin of the London Mathematical Society, 2023 - Wiley Online Library
This note is concerned with the Bianchi–Egnell inequality, which quantifies the stability of
the Sobolev inequality, and its generalization to fractional exponents s∈(0, d 2) s∈(0,d2) …
the Sobolev inequality, and its generalization to fractional exponents s∈(0, d 2) s∈(0,d2) …
Stability of Hardy-Littlewood-Sobolev inequalities with explicit lower bounds
In this paper, we establish the stability for the Hardy-Littlewood-Sobolev (HLS) inequalities
with explicit lower bounds. By establishing the relation between the stability of HLS …
with explicit lower bounds. By establishing the relation between the stability of HLS …
Stability with explicit constants of the critical points of the fractional Sobolev inequality and applications to fast diffusion
N De Nitti, T König - Journal of Functional Analysis, 2023 - Elsevier
We study the quantitative stability of critical points of the fractional Sobolev inequality. We
show that, for a non-negative function u∈ H˙ s (RN) whose energy satisfies 1 2 SN, s N 2 …
show that, for a non-negative function u∈ H˙ s (RN) whose energy satisfies 1 2 SN, s N 2 …
Subelliptic Nonlocal Brezis-Nirenberg Problems on Stratified Lie Groups
In this paper, we investigate the subelliptic nonlocal Brezis-Nirenberg problem on stratified
Lie groups involving critical nonlinearities, namely,\begin {align*}(-\Delta_ {\mathbb {G}, p}) …
Lie groups involving critical nonlinearities, namely,\begin {align*}(-\Delta_ {\mathbb {G}, p}) …