33 citations · 62 across the 20 of their papers we have counts for
24 papers
Gradient Estimate for the Heat Kernel on Some Fractal-Like Cable Systems and Quasi-Riesz Transforms
Baptiste Devyver, Emmanuel Russ, Meng Yang
We give pointwise upper estimate for the gradient of the heat kernel on some fractal-like cable systems including the Vicsek and the Sierpiński cable systems. Applications to …
Solvability In Weighted Lebesgue Spaces of the Divergence Equation with Measure Data
Laurent Moonens, Emmanuel Russ
In the following paper, one studies, given a bounded, connected open set R n , > 0, a positive Radon measure 0 in and a (signed) Radon measure on $Ω…
Hardy spaces on Riemannian manifolds with quadratic curvature decay
Baptiste Devyver, Emmanuel Russ
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 th…
Existence and Regularity of Optimal Shapes for Elliptic Operators with Drift
Emmanuel Russ, Baptiste Trey, Bozhidar Velichkov
This paper is devoted to the study of shape optimization problems for the first eigenvalue of the elliptic operator with drift L = --+V (x)\cdot \nabla with Dirichlet boundary c…
Optimization of some eigenvalue problems with large drift
Francois Hamel, Luca Rossi, Emmanuel Russ
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 mini…
Lifting in Besov Spaces
Petru Mironescu, Emmanuel Russ, Yannick Sire
Let be a smooth bounded domain in and u be a measurable function on such that almost everywhere in . Assume that u belongs to the …