Add to ORKGFor a class of functions (called Rad\'o functions) that arise naturally in minimal surface theory, we bound the number of interior critical points (counting multiplicity) in terms of the boundary data and the Euler characteristic.Comment: 17 page
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
Meeks and Pérez present a survey of recent spectacular successes in classical minimal surface theory...
Given $I,B\in\mathbb{N}\cup \{0\}$, we investigate the existence and geometry of complete finitely b...
MICINN / AEI / 10.13039/501100011033, Grant/Award Number: PID2020-116126-I00IMAG–Maria de Maeztu,...
MICINN / AEI / 10.13039/501100011033, Grant/Award Number: PID2020-116126-I00IMAG–Maria de Maeztu,...
We prove that if Γ is a real-analytic Jordan curve in R3 whose total curvature does not exceed 6pi, ...
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 ...
We present some geometric applications, of global character, of the bubbling analysis developed by B...
In this note we propose a min-max theory for embedded hypersurfaces with a fixed boundary and apply ...
In the present article, the author proves two generalizations of his "finiteness-result” (I.H.P. Ana...
In this article, we consider a modified version of minimal $L^2$ integrals on sublevel sets of pluri...
In this paper, we prove that every strictly convex 3-ball with nonnegative Ricci-curvature contains ...
This monograph treats parametric minimal surfaces of codimension one in the Euclidean space $R^{n+1}...
We collect several results concerning regularity of minimal laminations, and governing the various m...
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
Meeks and Pérez present a survey of recent spectacular successes in classical minimal surface theory...
Given $I,B\in\mathbb{N}\cup \{0\}$, we investigate the existence and geometry of complete finitely b...
MICINN / AEI / 10.13039/501100011033, Grant/Award Number: PID2020-116126-I00IMAG–Maria de Maeztu,...
MICINN / AEI / 10.13039/501100011033, Grant/Award Number: PID2020-116126-I00IMAG–Maria de Maeztu,...
We prove that if Γ is a real-analytic Jordan curve in R3 whose total curvature does not exceed 6pi, ...
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 ...
We present some geometric applications, of global character, of the bubbling analysis developed by B...
In this note we propose a min-max theory for embedded hypersurfaces with a fixed boundary and apply ...
In the present article, the author proves two generalizations of his "finiteness-result” (I.H.P. Ana...
In this article, we consider a modified version of minimal $L^2$ integrals on sublevel sets of pluri...
In this paper, we prove that every strictly convex 3-ball with nonnegative Ricci-curvature contains ...
This monograph treats parametric minimal surfaces of codimension one in the Euclidean space $R^{n+1}...
We collect several results concerning regularity of minimal laminations, and governing the various m...
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
Meeks and Pérez present a survey of recent spectacular successes in classical minimal surface theory...
Given $I,B\in\mathbb{N}\cup \{0\}$, we investigate the existence and geometry of complete finitely b...