Some combinatorial results about the operators with jumping nonlinearities
Some Elementary Superdifferentiable Functions
Some fixed point theorems in metric and Banach spaces
Some observations on local uniform boundedness principles. II
Some properties of the ring of germs of -functions
Some quantitative results in singularity theory
The classical singularity theory deals with singularities of various mathematical objects: curves and surfaces, mappings, solutions of differential equations, etc. In particular, singularity theory treats the tasks of recognition, description and classification of singularities in each of these cases. In many applications of singularity theory it is important to sharpen its basic results, making them "quantitative", i.e. providing explicit and effectively computable estimates for all the important...
Some recent results concerning weak Asplund spaces
Some remark on the stability problems for de Rham currents.
Some remarks about the -Dirichlet integral
We discuss variational problems for the -Dirichlet integral, non integer, for maps between manifolds, illustrating the role played by the geometry of the target manifold in their weak formulation.
Some remarks and applications of an extension of a lemma of Ky Fan
Some stability questions concerning caustics for different propagation laws.
Spaces of upper semicontinuous multi-valued functions on complete metric spaces
Let X = (X,d) be a metric space and let the product space X × ℝ be endowed with the metric ϱ ((x,t),(x’,t’)) = maxd(x,x’), |t - t’|. We denote by the space of bounded upper semicontinuous multi-valued functions φ : X → ℝ such that each φ(x) is a closed interval. We identify with its graph which is a closed subset of X × ℝ. The space admits the Hausdorff metric induced by ϱ. It is proved that if X = (X,d) is uniformly locally connected, non-compact and complete, then is homeomorphic to a...
Spectra of Compact Locally Symmetric Manifolds of Negative Curvature.
Spectral gap lower bound for the one-dimensional fractional Schrödinger operator in the interval
We prove a uniform lower bound for the difference λ₂ - λ₁ between the first two eigenvalues of the fractional Schrödinger operator , α ∈ (1,2), with a symmetric single-well potential V in a bounded interval (a,b), which is related to the Feynman-Kac semigroup of the symmetric α-stable process killed upon leaving (a,b). “Uniform” means that the positive constant appearing in our estimate is independent of the potential V. In the general case of α ∈ (0,2), we also find a uniform lower bound for...
Spectral properties of the adjoint operator and applications.
Spectral theory of translation surfaces : A short introduction
We define translation surfaces and, on these, the Laplace operator that is associated with the Euclidean (singular) metric. This Laplace operator is not essentially self-adjoint and we recall how self-adjoint extensions are chosen. There are essentially two geometrical self-adjoint extensions and we show that they actually share the same spectrum
Spectre asymptotique du revêtement universel des tores
Spectre d'une variété privée d'un ɛ-tube (Conditions de Dirichlet)
Spectrum of twisted Dirac operators on the complex projective space
In this paper, we explicitly determine the spectrum of Dirac operators acting on smooth sections of twisted spinor bundles over the complex projective space for .
Stabilité de l'inégalité de Faber-Krahn en courbure de Ricci positive
P. Bérard et D. Meyer ont démontré une inégalité du type Faber-Krahn pour les domaines d'une variété compacte à courbure de Ricci positive. Nous démontrons des résultats de stabilité associés à cette inégalité.