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math.AP2024
A Faber-Krahn inequality for the Laplacian with drift under Robin boundary condition
François Hamel, Emmanuel Russ
We prove a Faber-Krahn inequality for the Laplacian with drift under Robin boundary condition, provided that the parameter in the Robin condition is large enough. The proof rel…
math.AP2024
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…
math.AP2022★ 1 cited
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 …