Zobrazeno 1 - 10
of 134
pro vyhledávání: '"Russ, Emmanuel"'
Autor:
Hamel, François, Russ, Emmanuel
We prove a Faber-Krahn inequality for the Laplacian with drift under Robin boundary condition, provided that the $\beta$ parameter in the Robin condition is large enough. The proof relies on a compactness argument, on the convergence of Robin eigenva
Externí odkaz:
http://arxiv.org/abs/2405.12148
Autor:
Devyver, Baptiste, Russ, Emmanuel
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. Chen, T. Coulhon, J. Feneuil and the second author that, in the Vicsek
Externí odkaz:
http://arxiv.org/abs/2403.02779
Autor:
Russ, Emmanuel, Devyver, Baptiste
Let $M$ be a complete Riemannian manifold satisfying the doubling volume condition for geodesic balls and $L^q$ scaled Poincar\'e inequalities on suitable remote balls for some $q<2$. We prove the inequality $\left\Vert \Delta^{1/2}f\right\Vert_p\les
Externí odkaz:
http://arxiv.org/abs/2209.05083
We give pointwise upper estimate for the gradient of the heat kernel on some fractal-like cable systems including the Vicsek and the Sierpi\'nski cable systems. Applications to $L^p$-boundedness of quasi-Riesz transforms are derived.
Comment: 30
Comment: 30
Externí odkaz:
http://arxiv.org/abs/2103.10181
Autor:
Moonens, Laurent, Russ, Emmanuel
In the following paper, one studies, given a bounded, connected open set $\Omega$ $\subseteq$ R n , $\kappa$ > 0, a positive Radon measure $\mu$ 0 in $\Omega$ and a (signed) Radon measure $\mu$ on $\Omega$ satisfying $\mu$($\Omega$) = 0 and |$\mu$| $
Externí odkaz:
http://arxiv.org/abs/2003.07265
Autor:
Devyver, Baptiste, Russ, Emmanuel
Publikováno v:
Analysis & PDE 15 (2022) 1169-1213
Let (M, g) be a complete Riemannian manifold. Assume that the Ricci curvature of M has quadratic decay and that the volume growth is strictly faster than quadratic. We establish that the Hardy spaces of exact 1-differential forms on M , introduced in
Externí odkaz:
http://arxiv.org/abs/1910.09344
This paper is devoted to the study of shape optimization problems for the first eigenvalue of the elliptic operator with drift L = --$\Delta$+V (x)\cdot \nabla with Dirichlet boundary conditions, where V is a bounded vector field. In the first instan
Externí odkaz:
http://arxiv.org/abs/1810.07943
This paper is concerned with eigenvalue problems for non-symmetric elliptic operators with large drifts in bounded domains under Dirichlet boundary conditions. We consider the minimal principal eigenvalue and the related principal eigenfunction in th
Externí odkaz:
http://arxiv.org/abs/1710.04920
Let $d\geq 2$ be an integer, $1\leq l\leq d-1$ and $\varphi$ be a differential $l$-form on ${\mathbb R}^d$ with $\dot{W}^{1,d}$ coefficients. It was proved by Bourgain and Brezis (\cite[Theorem 5]{MR2293957}) that there exists a differential $l$-form
Externí odkaz:
http://arxiv.org/abs/1709.01762
Let $\Omega$ be a smooth bounded domain in $\mathbb R^n$ and u be a measurable function on $\Omega$ such that $|u(x)|=1$ almost everywhere in $\Omega$. Assume that u belongs to the $B^s_{p,q}(\Omega)$ Besov space. We investigate whether there exists
Externí odkaz:
http://arxiv.org/abs/1705.04271