206 citations · 1.5k across the 62 of their papers we have counts for
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Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions
Andrea Mondino, Stefano Nardulli
We prove existence of isoperimetric regions for every volume in non-compact Riemannian -manifolds , , having Ricci curvature and being lo…
A PDE approach to nonlinear potential theory in metric measure spaces
Nicola Gigli, Andrea Mondino
We show that the tools recently introduced by the first author in [9] allow to give a PDE description of p-harmonic functions in metric measure setting. Three applications are give…
Riemannian Ricci curvature lower bounds in metric measure spaces with -finite measure
Luigi Ambrosio, Nicola Gigli, Andrea Mondino +1
Using techniques of optimal transportation and gradient flows in metric spaces, we extend the notion of Riemannian Curvature Dimension condition introduced (in case…
Willmore Spheres in Compact Riemannian Manifolds
Andrea Mondino, Tristan Rivière
The paper is devoted to the variational analysis of the Willmore, and other L^2 curvature functionals, among immersions of 2-dimensional surfaces into a compact riemannian m-manifo…
Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds
Andrea Mondino, Johannes Schygulla
We study curvature functionals for immersed 2-spheres in non-compact, three-dimensional Riemannian manifold without boundary. First, under the assumption that is th…