130 citations · 151 across the 19 of their papers we have counts for
22 papers
A sharp Sobolev inequality on the Caffarelli-Kohn-Nirenberg hyperbolic space
Baptiste Devyver, Louis Dupaigne, Pierre-Damien Thizy
In the Euclidean space , the sharp classical Sobolev inequality is equivalent by conformal invariance to a Sobolev inequality on the hyperbolic space .…
Reverse inequalities for quasi-Riesz transform on the Vicsek cable system
Baptiste Devyver, Emmanuel Russ
This work is devoted to the study of so-called ``reverse Riesz'' inequalities and suitable variants in the context of some fractal-like cable systems. It was already proved by L. C…
cohomology and Hodge decomposition for ALE manifolds
Baptiste Devyver, Klaus Kroencke
We relate the dimensions of 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.…
On existence of minimizers for weighted -Hardy inequalities on -domains with compact boundary
Ujjal Das, Yehuda Pinchover, Baptiste Devyver
Let , , and be a -domain with a compact boundary , where . Denote by the dis…
Reverse inequality for the riesz transforms on Riemannian manifolds
Emmanuel Russ, Baptiste Devyver
Let be a complete Riemannian manifold satisfying the doubling volume condition for geodesic balls and scaled Poincaré inequalities on suitable remote balls for some …
Estimates for the covariant derivative of the heat semigroup on differential forms, and covariant Riesz transforms
Robert Baumgarth, Baptiste Devyver, Batu Güneysu
With is the uniquely determined self-adjoint realization of the Laplace operator acting on -forms on a geodesically complete Riemannian manifold and …