Semigroup properties for the second fundamental form.
Semilinear elliptic equations having asymptotic limits at zero and infinity.
Semilinear equations, the function, and generalized Gauduchon metrics
In this paper, we generalize the Gauduchon metrics on a compact complex manifold and define the functions on the space of its hermitian metrics.
Semilinear parabolic problems on manifolds and applications to the non-compact Yamabe problem.
Semilinear wave equation on manifolds
Semimartingales in predictable random open sets
Semireflexive Spaces In Which The Theorem On The Derivative-Of-The-Inverse Fails For Frechet Derivatives.
Semi-rigid CR structures and holomorphic extendability
Separable -harmonic functions in a cone and related quasilinear equations on manifolds
Separable solutions of quasilinear Lane–Emden equations
For and either or , we prove the existence of solutions of in a cone , with vertex 0 and opening , vanishing on , of the form . The problem reduces to a quasilinear elliptic equation on and the existence proof is based upon degree theory and homotopy methods. We also obtain a nonexistence result in some critical case by making use of an integral type identity.
Separation, factorization and finite sheaves on Nash manifolds
Separation of variables in the problems of normal and compact solvability of the exterior derivation operator.
Separatrices for non solvable dynamics on
We define the separatrices for pseudogroups of diffeomorphisms of open neighbourhoods of the origin in the complex plane and prove their existence for non solvable pseudogroups (Theorem 1). This extends a result by Shcherbakov (in [21]) accurately. Our method also applies to prove the topological rigidity theorem for generic pseudogroups attributed to Shcherbakov (dans [20]).
Seven-dimensional considerations of Einstein's connection. II: The recurrence relations of the second and third kind in 7--UFT.
Seven-dimensional considerations of Einstein's connection. I: The recurrence relations of the first kind in --UFT.
Seven-dimensional considerations of Einstein'sconnection. III: The seven-dimensional Einstein's connection.
Shapes of spheres of special nonholonomic left-invariant intrinsic metrics on some Lie groups.
Sharp borderline Sobolev inequalities on compact Riemannian manifolds.
Sharp bounds for the intersection of nodal lines with certain curves
Let be a hyperbolic surface and let be a Laplacian eigenfunction having eigenvalue with . Let be the set of nodal lines of . For a fixed analytic curve of finite length, we study the number of intersections between and in terms of . When is compact and a geodesic circle, or when has finite volume and is a closed horocycle, we prove that is “good” in the sense of [TZ]. As a result, we obtain that the number of intersections between and is . This bound is sharp.
Sharp estimates of the Green function of hyperbolic Brownian motion
The main objective of the work is to provide sharp two-sided estimates of the λ-Green function, λ ≥ 0, of the hyperbolic Brownian motion of a half-space. We rely on the recent results obtained by K. Bogus and J. Małecki (2015), regarding precise estimates of the Bessel heat kernel for half-lines. We also substantially use the results of H. Matsumoto and M. Yor (2005) on distributions of exponential functionals of Brownian motion.