Abstract. In this work we prove the existence of embedded closed minimal hypersurfaces in non-compact manifolds containing a bounded open subset with smooth and strictly mean-concave boundary and a natural behavior on the geometry at infinity. For doing this, we develop a modified min-max theory for the area functional following Almgren and Pitts ’ setting, to produce minimal surfaces with intersecting properties. 1
In this paper we survey with complete proofs some well-known, but hard to find, results about constr...
We prove that every complete non-compact manifold of finite volume contains a (possibly non-compact)...
Abstract. Let (M, g0) be a closed Riemannian manifold of dimension n, for 3 ≤ n ≤ 7, and non-negativ...
In this thesis we present a result concerning existence and regularity of minimal surfaces with boun...
Minimal surfaces are critical points of the area functional. The min-max theory is a variational the...
In this note we propose a min-max theory for embedded hypersurfaces with a fixed boundary and apply ...
In this note we propose a min-max theory for embedded hypersurfaces with a fixed boundary and apply ...
International audienceIn this paper, we study closed embedded minimal hypersurfaces in a Riemannian ...
International audienceIn this paper, we study closed embedded minimal hypersurfaces in a Riemannian ...
In this thesis we present a result concerning existence and regularity of minimal surfaces with boun...
We show that for any closed Riemannian manifold with dimension between 3 and 7, either there are min...
In the early 1980s, S. T. Yau conjectured that any compact Riemannian three-manifold admits an infin...
For almost all Riemannian metrics (in the $C^\infty$ Baire sense) on a compact manifold with boundar...
We establish a min-max estimate on the volume width of a closed Riemannian manifold with nonnegative...
We prove that every complete non-compact manifold of finite volume contains a (possibly non-compact)...
In this paper we survey with complete proofs some well-known, but hard to find, results about constr...
We prove that every complete non-compact manifold of finite volume contains a (possibly non-compact)...
Abstract. Let (M, g0) be a closed Riemannian manifold of dimension n, for 3 ≤ n ≤ 7, and non-negativ...
In this thesis we present a result concerning existence and regularity of minimal surfaces with boun...
Minimal surfaces are critical points of the area functional. The min-max theory is a variational the...
In this note we propose a min-max theory for embedded hypersurfaces with a fixed boundary and apply ...
In this note we propose a min-max theory for embedded hypersurfaces with a fixed boundary and apply ...
International audienceIn this paper, we study closed embedded minimal hypersurfaces in a Riemannian ...
International audienceIn this paper, we study closed embedded minimal hypersurfaces in a Riemannian ...
In this thesis we present a result concerning existence and regularity of minimal surfaces with boun...
We show that for any closed Riemannian manifold with dimension between 3 and 7, either there are min...
In the early 1980s, S. T. Yau conjectured that any compact Riemannian three-manifold admits an infin...
For almost all Riemannian metrics (in the $C^\infty$ Baire sense) on a compact manifold with boundar...
We establish a min-max estimate on the volume width of a closed Riemannian manifold with nonnegative...
We prove that every complete non-compact manifold of finite volume contains a (possibly non-compact)...
In this paper we survey with complete proofs some well-known, but hard to find, results about constr...
We prove that every complete non-compact manifold of finite volume contains a (possibly non-compact)...
Abstract. Let (M, g0) be a closed Riemannian manifold of dimension n, for 3 ≤ n ≤ 7, and non-negativ...
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