Baptiste Devyver

collaborators

2 papers

math.AP2026

On existence of minimizers for weighted $L^{p}$ -Hardy inequalities on $C^{1, I^^{3}}$ -domains with compact boundary

Ujjal Das, Yehuda Pinchover, Baptiste Devyver

Let $p \in (1, \infty)$ , $I^\pm \in R$ , and $I^c ◯ ⊊ R^{N}$ be a $C^{1, I^^{3}}$ -domain with a compact boundary $\partial I^c ◯$ , where $I^^{3} \in (0, 1]$ . Denote by $I^´_{I^} c ◯ (x)$ …

math.AP2025

A sharp Sobolev inequality on the Caffarelli-Kohn-Nirenberg hyperbolic space

Baptiste Devyver, Louis Dupaigne, Pierre-Damien Thizy

In the Euclidean space $R^{d}$ , the sharp classical Sobolev inequality is equivalent by conformal invariance to a Sobolev inequality on the hyperbolic space $H^{d}$ .…

On existence of minimizers for weighted Lp-Hardy inequalities on C1,I^3-domains with compact boundary

A sharp Sobolev inequality on the Caffarelli-Kohn-Nirenberg hyperbolic space

On existence of minimizers for weighted $L^{p}$ -Hardy inequalities on $C^{1, I^^{3}}$ -domains with compact boundary