Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking
Solutions of Minimal Period for a Class of Convex Hamiltonian Systems.
Solutions of the constraint equations in general relativity satisfying "hyperboloidal boundary conditions" [Book]
Solutions périodiques de systèmes hamiltoniens
Solutions with subgroup symmetry for singular equations in bifurcation theory.
Solvability of the Navier-Stokes equations on manifolds with boundary.
Solvable nonlinear evolution PDEs in multidimensional space.
Solving -Laplacian equations on complete manifolds.
Some abstract properties of semigroups appearing in superconformal theories.
Some algebraic theorems on vector-valued forms and their geometric applications
Some applications of large sieve in Riemann surfaces
Some aspects of the homogeneous formalism in field theory and gauge invariance
We propose a suitable formulation of the Hamiltonian formalism for Field Theory in terms of Hamiltonian connections and multisymplectic forms where a composite fibered bundle, involving a line bundle, plays the role of an extended configuration bundle. This new approach can be interpreted as a suitable generalization to Field Theory of the homogeneous formalism for Hamiltonian Mechanics. As an example of application, we obtain the expression of a formal energy for a parametrized version of the Hilbert–Einstein...
Some combinatorial results about the operators with jumping nonlinearities
Some concepts of regularity for parametric multiple-integral problems in the calculus of variations
We show that asserting the regularity (in the sense of Rund) of a first-order parametric multiple-integral variational problem is equivalent to asserting that the differential of the projection of its Hilbert-Carathéodory form is multisymplectic, and is also equivalent to asserting that Dedecker extremals of the latter -form are holonomic.
Some conformal invariants from the noncommutative residue for manifolds with boundary.
Some constancy results for harmonic maps from non-contractable domains into spheres.
Some constructions of biharmonic maps on the warped product manifolds
In this paper, we characterize a class of biharmonic maps from and between product manifolds in terms of the warping function. Examples are constructed when one of the factors is either Euclidean space or sphere.
Some critical almost Kähler structures
We consider the set of all almost Kähler structures (g,J) on a 2n-dimensional compact orientable manifold M and study a critical point of the functional with respect to the scalar curvature τ and the *-scalar curvature τ*. We show that an almost Kähler structure (J,g) is a critical point of if and only if (J,g) is a Kähler structure on M.
Some curvature identities for commutative spaces
Some decay properties for the damped wave equation on the torus
This article is a proceedings version of the ongoing work [1], and has been the object of a talk of the second author during the Journées “Équations aux Dérivées Partielles” (Biarritz, 2012).We address the decay rates of the energy of the damped wave equation when the damping coefficient does not satisfy the Geometric Control Condition (GCC). First, we give a link with the controllability of the associated Schrödinger equation. We prove that the observability of the Schrödinger group implies that...