3 papers
math.AP2026
Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group
Wenjing Chen, Zexi Wang
We investigate the optimal Bianchi-Egnell-type quantitative stability constant for the critical nonlocal Sobolev inequality on the Heisenberg group , \begin{equatio…
math.AP2026
Remainder terms and sharp quantitative stability for a nonlocal Sobolev inequality on the Heisenberg group
Wenjing Chen, Zexi Wang
In this paper, we study the following nonlocal Sobolev inequality on the Heisenberg group \begin{equation}\label{eq:HLS} S_{HL}(Q,μ) \left(\int_{\mathbb{H}^{n}}\int_{\mathbb{H}^{n…
math.AP2025
An extension of Cabré-Chanillo theorem to the -laplacian
Massimo Grossi, Luigi Montoro, Berardino Sciunzi +1
In this paper, we study the critical points of stable solutions for the following -laplacian equation \begin{equation*} \begin{cases} -div\big(|\nabla u|^{p-2}\nabla u\big)=f(u)…