Add to ORKGAbstract. We prove a Lojasiewicz-Simon gradient inequality for the Will-more functional near Willmore surfaces and apply this inequality to exclude compact blow-ups for the Willmore flow. 1
In this note we prove uniqueness of nondegenerate compact blowups for the motion by curvature of pla...
Geometric gradient flows for elastic energies of Willmore type play an important role in mathematics...
We use the minimizing movement theory to study the gradient flow associated with a non-regular relax...
This work is devoted to the study of the Willmore Functional. In the first part of the thesis we rec...
We consider a closed surface in $\mathbb{R}^3$ evolving by the volume-preserving Willmore flow and p...
Abstract. A surface x:M → Sn is called a Willmore surface if it is a critic al surface of the Willmo...
The Willmore energy of a surface, ∫(H^2 - K) dA, as a function of mean and Gaussian curvature, captu...
We introduce a parametric framework for the study of Willmore gradient flows which enables to consid...
Abstract: A new formulation for the Euler-Lagrange equation of the Will-more functional for immersed...
Abstract: The weak mean curvature is lower semicontinuous under weak con-vergence of varifolds that ...
In 1965, Willmore conjectured that the integral of the square of the mean curvature of a torus immer...
Inspired by previous work of Kusner and Bauer–Kuwert, we prove a strict inequality between the Willm...
We discuss variational problems concerning Willmore-type energies of curves and surfaces. By Willmor...
By the classical Li-Yau inequality, an immersion of a closed surface in $\mathbb{R}^n$ with Willmore...
For a hypersurface in ℝ3, Willmore flow is defined as the L2-gradient flow of the classical Willmore...
In this note we prove uniqueness of nondegenerate compact blowups for the motion by curvature of pla...
Geometric gradient flows for elastic energies of Willmore type play an important role in mathematics...
We use the minimizing movement theory to study the gradient flow associated with a non-regular relax...
This work is devoted to the study of the Willmore Functional. In the first part of the thesis we rec...
We consider a closed surface in $\mathbb{R}^3$ evolving by the volume-preserving Willmore flow and p...
Abstract. A surface x:M → Sn is called a Willmore surface if it is a critic al surface of the Willmo...
The Willmore energy of a surface, ∫(H^2 - K) dA, as a function of mean and Gaussian curvature, captu...
We introduce a parametric framework for the study of Willmore gradient flows which enables to consid...
Abstract: A new formulation for the Euler-Lagrange equation of the Will-more functional for immersed...
Abstract: The weak mean curvature is lower semicontinuous under weak con-vergence of varifolds that ...
In 1965, Willmore conjectured that the integral of the square of the mean curvature of a torus immer...
Inspired by previous work of Kusner and Bauer–Kuwert, we prove a strict inequality between the Willm...
We discuss variational problems concerning Willmore-type energies of curves and surfaces. By Willmor...
By the classical Li-Yau inequality, an immersion of a closed surface in $\mathbb{R}^n$ with Willmore...
For a hypersurface in ℝ3, Willmore flow is defined as the L2-gradient flow of the classical Willmore...
In this note we prove uniqueness of nondegenerate compact blowups for the motion by curvature of pla...
Geometric gradient flows for elastic energies of Willmore type play an important role in mathematics...
We use the minimizing movement theory to study the gradient flow associated with a non-regular relax...