31 citations · 115 across the 27 of their papers we have counts for
6 papers · 1 filter
Sobolev mappings between RCD spaces and applications to harmonic maps: a heat kernel approach
Shouhei Honda, Yannick Sire
We investigate a Sobolev map from a finite dimensional RCD space $(X, \dist_X, \meas_X)$ to a finite dimensional non-collapsed compact RCD space $(Y, \dist_Y, \mathcal{H}^N)$.…
Embedding of spaces in via eigenfunctions
Luigi Ambrosio, Shouhei Honda, Jacobus W. Portegies +1
In this paper we study the family of embeddings of a compact space into via eigenmaps. Extending part of the classical results by Bérard, Bé…
Continuity of nonlinear eigenvalues in spaces with respect to measured Gromov-Hausdorff convergence
Luigi Ambrosio, Shouhei Honda, Jacobus W. Portegies
In this note we prove in the nonlinear setting of spaces the stability of the Krasnoselskii spectrum of the Laplace operator under measured Gromov-Hausdorff con…
Local spectral convergence in spaces
Luigi Ambrosio, Shouhei Honda
In this note we give necessary and sufficient conditions for the validity of the local spectral convergence, in balls, on the -setting.
Short-time behavior of the heat kernel and Weyl's law on -spaces
Luigi Ambrosio, Shouhei Honda, David Tewodrose
In this paper, we prove pointwise convergence of heat kernels for mGH-convergent sequences of -spaces. We obtain as a corollary results on the short-time behavior of th…
New stability results for sequences of metric measure spaces with uniform Ricci bounds from below
Luigi Ambrosio, Shouhei Honda
The aim of this paper is to provide new stability results for sequences of metric measure spaces convergent in the measured Gromov-Hausdorff sense. By adopting the…