Baptiste Devyver

activity

20102025

most citedOn the finiteness of the Morse Index for Schrödinger operators

12 citations · 17 across the 9 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.DG2023

$L^{p}$ cohomology and Hodge decomposition for ALE manifolds

Baptiste Devyver, Klaus Kroencke

We relate the dimensions of $L^{p}$ reduced cohomology spaces in degree k of an ALE manifold to the dimension of some spaces of decaying harmonic forms, depending both on p and on k.…

math.AP2023

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

Ujjal Das, Yehuda Pinchover, Baptiste Devyver

Let $p \in (1, \infty)$ , $α \in R$ , and $Ω ⊊ R^{N}$ be a $C^{1, γ}$ -domain with a compact boundary $\partial Ω$ , where $γ \in (0, 1]$ . Denote by $δ_{Ω} (x)$ the dis…

Lp cohomology and Hodge decomposition for ALE manifolds

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

$L^{p}$ cohomology and Hodge decomposition for ALE manifolds

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