We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are smooth. Also, we extend to the nonlocal setting a famous theorem of De Giorgi [6] stating that the validity of Bernstein’s theorem in dimension n+1 is a consequence of the nonexistence of n-dimensional singular minimal cones in $R^n$
In this paper we study the geometric properties, existence, regularity and related issues for a fami...
Abstract. We prove that C1,α s-minimal surfaces are of class C∞. For this, we develop a new bootstra...
In this paper we show that a nonlocal minimal surface which is a graph outside a cylinder is in fact...
We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are smooth. Also, we extend t...
We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are smooth. Also, we extend t...
We prove an improvement of flatness result for nonlocal minimal surfaces which is independent of the...
International audienceWe show that nonlocal minimal cones which are non-singular sub-graphs outside ...
Abstract. We show that the only nonlocal s-minimal cones in R2 are the trivial ones for all s ∈ (0, ...
We show that the only nonlocal s-minimal cones in \u211d2 are the trivial ones for all S 08 (0, 1)....
These notes record the lectures for the CIME Summer Course held by the second author in Cetraro duri...
This thesis is meant as an introduction to the subject of minimal surfaces, i.e. surfaces having mea...
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 this paper we show that a nonlocal minimal surface which is a graph outside a cylinder is in fact...
We consider surfaces which minimize a nonlocal perimeter functional andwe discuss their interior reg...
In this paper we study the geometric properties, existence, regularity and related issues for a fami...
Abstract. We prove that C1,α s-minimal surfaces are of class C∞. For this, we develop a new bootstra...
In this paper we show that a nonlocal minimal surface which is a graph outside a cylinder is in fact...
We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are smooth. Also, we extend t...
We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are smooth. Also, we extend t...
We prove an improvement of flatness result for nonlocal minimal surfaces which is independent of the...
International audienceWe show that nonlocal minimal cones which are non-singular sub-graphs outside ...
Abstract. We show that the only nonlocal s-minimal cones in R2 are the trivial ones for all s ∈ (0, ...
We show that the only nonlocal s-minimal cones in \u211d2 are the trivial ones for all S 08 (0, 1)....
These notes record the lectures for the CIME Summer Course held by the second author in Cetraro duri...
This thesis is meant as an introduction to the subject of minimal surfaces, i.e. surfaces having mea...
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 this paper we show that a nonlocal minimal surface which is a graph outside a cylinder is in fact...
We consider surfaces which minimize a nonlocal perimeter functional andwe discuss their interior reg...
In this paper we study the geometric properties, existence, regularity and related issues for a fami...
Abstract. We prove that C1,α s-minimal surfaces are of class C∞. For this, we develop a new bootstra...
In this paper we show that a nonlocal minimal surface which is a graph outside a cylinder is in fact...
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