A Variational Approach to Bifurcation in Lp on an Unbounded Symmetrical Domain.
A variational approach to homoclinic orbits in Hamiltonian systems.
A version of Zhong's coercivity result for a general class of nonsmooth functionals.
A view on optimal transport from noncommutative geometry.
A volume form on the SU(2)-representation space of knot groups.
A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups.
A Weighted Eigenvalue Problems Driven by both -Harmonic and -Biharmonic Operators
The existence of at least one non-decreasing sequence of positive eigenvalues for the problem driven by both -Harmonic and -biharmonic operators is proved by applying a local minimization and the theory of the generalized Lebesgue-Sobolev spaces and .
A Wiener algebra for the Fefferman-Phong inequality
Abbildungen harmonischer Raüme mit Anwendung auf die Laplace und Wärmeleitungsgleichung
This paper is devoted to a study of harmonic mappings of a harmonic space on a harmonic space which are related to a family of harmonic mappings of into . In this way balayage in may be reduced to balayage in . In particular, a subset of is polar if and only if is polar. Similar result for thinness. These considerations are applied to the heat equation and the Laplace equation.
Abelian analytic torsion and symplectic volume
This article studies the abelian analytic torsion on a closed, oriented, Sasakian three-manifold and identifies this quantity as a specific multiple of the natural unit symplectic volume form on the moduli space of flat abelian connections. This identification computes the analytic torsion explicitly in terms of Seifert data.
Abelian coverings, Poincaré exponent of convergence and holomorphic deformations.
Abgeschlossene Garben differenzierbarer Funktionen.
Abnormal curves on the Goursat systems of .
Abnormal sub-riemannian geodesics : Morse index and rigidity
About a decomposition of the space of symmetric tensors of compact support on a Riemann manifold.
About boundary terms in higher order theories
It is shown that when in a higher order variational principle one fixes fields at the boundary leaving the field derivatives unconstrained, then the variational principle (in particular the solution space) is not invariant with respect to the addition of boundary terms to the action, as it happens instead when the correct procedure is applied. Examples are considered to show how leaving derivatives of fields unconstrained affects the physical interpretation of the model. This is justified in particular...
About duality and Killing tensors
Summary: In this paper the isometries of the dual space were investigated. The dual structural equations of a Killing tensor of order two were found. The general results are applied to the case of the flat space.
About Riesz transforms on the Heisenberg groups.
About the attractive points of the root functions on the Riemannian foliation.
About the Dirac operator.