On the existence of Jenkins-Strebel differentials using harmonic maps from surfaces to graphs.
On the existence of multiple geodesics in static space-times
On the existence of multiple solutions for a nonlocal BVP with vector-valued response
The existence of positive solutions for a nonlocal boundary-value problem with vector-valued response is investigated. We develop duality and variational principles for this problem. Our variational approach enables us to approximate solutions and give a measure of a duality gap between the primal and dual functional for minimizing sequences.
On the existence of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds.
On the Existence of Optimal Solutions for Infinite Horizon Optimal Control Problems: Nonconvex and Multicriteria Problems
In questa Nota si continua la discussione iniziata in [4] dell'esistenza di soluzioni ottimali per problemi di ottimo controllo in . Si definiscono problemi generalizzati, e si ottengono estensioni di risultati già presentati in [4]. Si dimostrano anche varie relazioni tra le soluzioni ottimali dei problemi generalizzati e i problemi originali e non convessi di ottimo controllo. Alla fine si considerano problemi lineari nelle variabili di stato anche nel caso di costi funzionali a valori vettoriali...
On the existence of periodic solutions of a semilinear wave equation with a superlinear forcing term
On the existence of positive solution for an elliptic equation of Kirchhoff type via Moser iteration method.
On the existence of prolongation of connections
We classify all bundle functors admitting natural operators transforming connections on a fibered manifold into connections on . Then we solve a similar problem for natural operators transforming connections on into connections on .
On the existence of prolongations of connections by bundle functors.
On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions.
On the existence of solutions to a fourth-order quasilinear resonant problem.
On the extension of holomorphic maps with values in a complex Lie group
On the extension of Nash functions.
On the Fefferman-Phong inequality
We show that the number of derivatives of a non negative 2-order symbol needed to establish the classical Fefferman-Phong inequality is bounded by improving thus the bound obtained recently by N. Lerner and Y. Morimoto. In the case of symbols of type , we show that this number is bounded by ; more precisely, for a non negative symbol , the Fefferman-Phong inequality holds if are bounded for, roughly, . To obtain such results and others, we first prove an abstract result which says that...
On the fiber product preserving gauge bundle functors on vector bundles
We present a complete description of all fiber product preserving gauge bundle functors F on the category of vector bundles with m-dimensional bases and vector bundle maps with local diffeomorphisms as base maps. Some corollaries of this result are presented.
On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space.
On the first homology of automorphism groups of manifolds with geometric structures
Hermann and Thurston proved that the group of diffeomorphisms with compact support of a smooth manifold M which are isotopic to the identity is a perfect group. We consider the case where M has a geometric structure. In this paper we shall survey on the recent results of the first homology of the diffeomorphism groups which preserve a smooth G-action or a foliated structure on M. We also work in Lipschitz category.
On the fixed point formula for Atiyah and Bott
On the flux homomorphism for regular Poisson manifolds
Author’s abstract: “We introduce the concept of the flux homomorphism for regular Poisson manifolds. First we establish a one-to-one correspondence between Poisson diffeomorphisms close to and closed foliated 1-forms close to 0. This allows to show that the group of Poisson automorphisms is locally contractible and to define the flux locally. Then, by means of the foliated cohomology, we extend this local homomorphism to a global one”.
On the formula of Ślebodziński for Lie derivative of tensor fields in a differential space