For surfaces without boundary, nonlocal notions of directional and mean curvatures have been recently given. Here, we develop alternative notions, special cases of which apply to surfaces with boundary. Our main tool is a new fractional or nonlocal area functional for compact surfaces
This is a joint work with Mouhamed M. Fall, Joan Sol- Morales and Tobias Weth. It concerns hypersurf...
This is a joint work with Mouhamed M. Fall, Joan Sol- Morales and Tobias Weth. It concerns hypersurf...
We consider the behavior of the nonlocal minimal surfaces in the vicinity of the boundary. By a seri...
For surfaces without boundary, nonlocal notions of directional and mean curvatures have been recentl...
We consider a nonlocal (or fractional) curvature and we investigate similarities and differences wit...
We consider a nonlocal (or fractional) curvature and we investigate similarities and differences wit...
We consider a nonlocal (or fractional) curvature and we investigate similarities and differences wit...
This book highlights the latest developments in the geometry of measurable sets, presenting them in ...
We recall the notion of nonlocal minimal surfaces and we discuss their qualitative and quantitative ...
We recall the notion of nonlocal minimal surfaces and we discuss their qualitative and quantitative ...
In the literature various notions of nonlocal curvature can be found. Here we propose a notion of no...
We are concerned with hypersurfaces of RN with constant nonlocal (or fractional) mean curvature. Thi...
In this paper we show that a nonlocal minimal surface which is a graph outside a cylinder is in fact...
Nonlocal minimal surfaces are introduced in [1] as boundary of sets that minimize the fractional per...
We consider surfaces which minimize a nonlocal perimeter functional andwe discuss their interior reg...
This is a joint work with Mouhamed M. Fall, Joan Sol- Morales and Tobias Weth. It concerns hypersurf...
This is a joint work with Mouhamed M. Fall, Joan Sol- Morales and Tobias Weth. It concerns hypersurf...
We consider the behavior of the nonlocal minimal surfaces in the vicinity of the boundary. By a seri...
For surfaces without boundary, nonlocal notions of directional and mean curvatures have been recentl...
We consider a nonlocal (or fractional) curvature and we investigate similarities and differences wit...
We consider a nonlocal (or fractional) curvature and we investigate similarities and differences wit...
We consider a nonlocal (or fractional) curvature and we investigate similarities and differences wit...
This book highlights the latest developments in the geometry of measurable sets, presenting them in ...
We recall the notion of nonlocal minimal surfaces and we discuss their qualitative and quantitative ...
We recall the notion of nonlocal minimal surfaces and we discuss their qualitative and quantitative ...
In the literature various notions of nonlocal curvature can be found. Here we propose a notion of no...
We are concerned with hypersurfaces of RN with constant nonlocal (or fractional) mean curvature. Thi...
In this paper we show that a nonlocal minimal surface which is a graph outside a cylinder is in fact...
Nonlocal minimal surfaces are introduced in [1] as boundary of sets that minimize the fractional per...
We consider surfaces which minimize a nonlocal perimeter functional andwe discuss their interior reg...
This is a joint work with Mouhamed M. Fall, Joan Sol- Morales and Tobias Weth. It concerns hypersurf...
This is a joint work with Mouhamed M. Fall, Joan Sol- Morales and Tobias Weth. It concerns hypersurf...
We consider the behavior of the nonlocal minimal surfaces in the vicinity of the boundary. By a seri...
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