De nouvelles formules de Weitzenböck pour des endomorphismes harmoniques. Applications géométriques
Deformation from symmetry for Schrödinger equations of higher order on unbounded domains.
Deformation Lemma, Ljusternik-Schnirellmann Theory and Mountain Pass Theorem on C1-Finsler Manifolds
∗Partially supported by Grant MM409/94 Of the Ministy of Science and Education, Bulgaria. ∗∗Partially supported by Grant MM442/94 of the Ministy of Science and Education, Bulgaria.Let M be a complete C1−Finsler manifold without boundary and f : M → R be a locally Lipschitz function. The classical proof of the well known deformation lemma can not be extended in this case because integral lines may not exist. In this paper we establish existence of deformations generalizing the classical result. This...
Deformations of Metrics and Biharmonic Maps
We construct biharmonic non-harmonic maps between Riemannian manifolds and by first making the ansatz that be a harmonic map and then deforming the metric on by to render biharmonic, where is a smooth function with gradient of constant norm on and . We construct new examples of biharmonic non-harmonic maps, and we characterize the biharmonicity of some curves on Riemannian manifolds.
Degenerate critical points, homotopy indices and Morse inequalities.
Degenerate critical points, homotopy indices and Morse inequalities. II.
Degree 1 singularities of energy minimizing maps to a bumpy sphere.
Degree Theory on Orientated Infinite Dimensional Varieties and the Morse Number of Minimal Surfaces Spanning a Curve.
Density of Morse Functions on a Complex Space.
Der Indexsatz für geschlossene Geodätische.
Destabilizing effect of unilateral conditions in reaction-diffusion systems
Diastolic and isoperimetric inequalities on surfaces
We prove a universal inequality between the diastole, defined using a minimax process on the one-cycle space, and the area of closed Riemannian surfaces. Roughly speaking, we show that any closed Riemannian surface can be swept out by a family of multi-loops whose lengths are bounded in terms of the area of the surface. This diastolic inequality, which relies on an upper bound on Cheeger’s constant, yields an effective process to find short closed geodesics on the two-sphere, for instance. We deduce...
Die Jacobifelder zu Minimalflächen im ...
Differential-geometric and variational background of classical gauge field theories.
Direct variational methods in nonreflexive spaces
Dirichlet problems for heat flows of harmonic maps in higher dimensions.
Discrete periodic geodesics in a surface.
Division property of the momentum map.
Double resonant problems which are locally non-quadratic at infinity.
Dualités de champs et de cordes