International audienceWe consider entire solutions u to the minimal surface equation in R-N, with N >= 8, and we prove the following sharp result: if N - 7 partial derivatives partial derivative u/partial derivative x(j) are bounded on one side (not necessarily the same), then u is necessarily an affine function
This work is divided into two, largely independent parts. The first discusses so-called two-valued m...
We construct nonlinear entire anisotropic minimal graphs over $\mathbb{R}^4$, completing the solutio...
Abstract. We consider minimal graphs u = u(x; y)> 0 over unbounded domains D with u = 0 on @D. We...
ABSTRACT. We prove that for a function f(zl,zs) defined on R2, the graph of Of is a minimal surface ...
In this paper, we prove a new gradient estimate for minimal graphs defined on domains of a complete ...
This thesis is meant as an introduction to the subject of minimal surfaces, i.e. surfaces having mea...
AbstractIn this paper we extend a recent result of Collin–Rosenberg (a solution to the minimal surfa...
We show a Bernstein theorem for minimal graphs of arbitrary dimension and codimension under a bound ...
In this paper we extend a recent result of Collin-Rosenberg (a solution to the minimal surface equat...
We develop a general method to construct subsets of complete Riemannian manifolds that cannot contai...
In this paper, we prove the validity of the Chern conjecture in affine geometry [18], namely that an...
We prove that every entire solution of the minimal graph equation that is bounded from below and has...
This monograph treats parametric minimal surfaces of codimension one in the Euclidean space $R^{n+1}...
We consider the class of measurable functions defined in all of Rn that give rise to a nonlocal mini...
Abstract. We construct harmonic diffeomorphisms from the complex plane C onto any Hadamard surface M...
This work is divided into two, largely independent parts. The first discusses so-called two-valued m...
We construct nonlinear entire anisotropic minimal graphs over $\mathbb{R}^4$, completing the solutio...
Abstract. We consider minimal graphs u = u(x; y)> 0 over unbounded domains D with u = 0 on @D. We...
ABSTRACT. We prove that for a function f(zl,zs) defined on R2, the graph of Of is a minimal surface ...
In this paper, we prove a new gradient estimate for minimal graphs defined on domains of a complete ...
This thesis is meant as an introduction to the subject of minimal surfaces, i.e. surfaces having mea...
AbstractIn this paper we extend a recent result of Collin–Rosenberg (a solution to the minimal surfa...
We show a Bernstein theorem for minimal graphs of arbitrary dimension and codimension under a bound ...
In this paper we extend a recent result of Collin-Rosenberg (a solution to the minimal surface equat...
We develop a general method to construct subsets of complete Riemannian manifolds that cannot contai...
In this paper, we prove the validity of the Chern conjecture in affine geometry [18], namely that an...
We prove that every entire solution of the minimal graph equation that is bounded from below and has...
This monograph treats parametric minimal surfaces of codimension one in the Euclidean space $R^{n+1}...
We consider the class of measurable functions defined in all of Rn that give rise to a nonlocal mini...
Abstract. We construct harmonic diffeomorphisms from the complex plane C onto any Hadamard surface M...
This work is divided into two, largely independent parts. The first discusses so-called two-valued m...
We construct nonlinear entire anisotropic minimal graphs over $\mathbb{R}^4$, completing the solutio...
Abstract. We consider minimal graphs u = u(x; y)> 0 over unbounded domains D with u = 0 on @D. We...
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