Instabile Flächen konstanter mittlerer Krümmung. Vortrag, gehalten auf der DMV-Tagung in Stuttgart 1971.
Instabile Flächen vorgeschriebener mittlerer Krümmung.
Instabile Minimalflächen in Riemannschen Mannigfaltigkeiten nichtpositver Schnittkrümmung.
Instability of certain capillary surfaces.
Integral distance on a Lipschitz Riemannian manifold.
Integral formulae associated with non-parameter invariant multiple integral problems of arbitrary order in the calculus of variations.
Integral functionals determined by their minima
Intégrandes normales et mesures paramétrées en calcul des variations
Interactive compromise hypersphere method and its applications
The paper focuses on multi-criteria problems. It presents the interactive compromise hypersphere method with sensitivity analysis as a decision tool in multi-objective programming problems. The method is based on finding a hypersphere (in the criteria space) which is closest to the set of chosen nondominated solutions. The proposed modifications of the compromise hypersphere method are based on using various metrics and analyzing their influence on the original method. Applications of the proposed...
Interactive compromise hypersphere method and its applications
The paper focuses on multi-criteria problems. It presents the interactive compromise hypersphere method with sensitivity analysis as a decision tool in multi-objective programming problems. The method is based on finding a hypersphere (in the criteria space) which is closest to the set of chosen nondominated solutions. The proposed modifications of the compromise hypersphere method are based on using various metrics and analyzing their influence on the original method. Applications of the proposed...
Invariant variational problems on principal bundles and conservation laws
In this work, we consider variational problems defined by -invariant Lagrangians on the -jet prolongation of a principal bundle , where is the structure group of . These problems can be also considered as defined on the associated bundle of the -th order connections. The correspondence between the Euler-Lagrange equations for these variational problems and conservation laws is discussed.
Inverse Function Theorems and Jacobians over Metric Spaces
We present inversion results for Lipschitz maps f : Ω ⊂ ℝN → (Y, d) and stability of inversion for uniformly convergent sequences. These results are based on the Area Formula and on the l.s.c. of metric Jacobians.
Inverse modelling of image-based patient-specific blood vessels: zero-pressure geometry and in vivo stress incorporation
In vivo visualization of cardiovascular structures is possible using medical images. However, one has to realize that the resulting 3D geometries correspond to in vivo conditions. This entails an internal stress state to be present in the in vivo measured geometry of e.g. a blood vessel due to the presence of the blood pressure. In order to correct for this in vivo stress, this paper presents an inverse method to restore the original zero-pressure geometry of a structure, and to recover the in vivo...
Inverse shape optimization problems and application to airfoils
Isoliertheit und Stabilität von Flächen konstanter mittlerer Krümmung.
Isoperimetric and Stable Sets for Log-Concave Perturbations of Gaussian Measures
Let be an open half-space or slab in ℝn+1 endowed with a perturbation of the Gaussian measure of the form f (p) := exp(ω(p) − c|p|2), where c > 0 and ω is a smooth concave function depending only on the signed distance from the linear hyperplane parallel to ∂ Ω. In this work we follow a variational approach to show that half-spaces perpendicular to ∂ Ω uniquely minimize the weighted perimeter in Ω among sets enclosing the same weighted volume. The main ingredient of the proof is the characterization...
Isoperimetric Inequalities and the Problem of Plateau.
Isoperimetric inequalities for parametric variational problems
Isoperimetric inequalities for quermassintegrals
Isoperimetric Regions in Rnwith Density rp
We show that the unique isoperimetric regions in Rn with density rp for n ≥ 3 and p > 0 are balls with boundary through the origin.