Monogenic functions in conformal geometry.
Monogenic functions on surfaces.
Monopôles de Seiberg-Witten et conjecture de Thom
Morphismes -orientés d’espaces de feuilles et fonctorialité en théorie de Kasparov (d’après une conjecture d’A. Connes)
Morse index and bifurcation of p-geodesics on semi Riemannian manifolds
Given a one-parameter family of semi Riemannian metrics on an n-dimensional manifold M, a family of time-dependent potentials and a family of trajectories connecting two points of the mechanical system defined by , we show that there are trajectories bifurcating from the trivial branch if the generalized Morse indices and are different. If the data are analytic we obtain estimates for the number of bifurcation points on the branch and, in particular, for the number of strictly conjugate...
Multiple convex hypersurfaces with prescribed mean curvature
Multiple solutions for nonlinear elliptic equations on Riemannian manifolds.
Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators.
Multiplicité de petites valeurs propres du laplacien
Multiplicité du spectre des surfaces : une approche topologique
Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces
We prove two explicit bounds for the multiplicities of Steklov eigenvalues on compact surfaces with boundary. One of the bounds depends only on the genus of a surface and the index of an eigenvalue, while the other depends as well on the number of boundary components. We also show that on any given Riemannian surface with smooth boundary the multiplicities of Steklov eigenvalues are uniformly bounded in .
Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields.
Negative Curvature and Embedded Eigenvalues.
Nets on a Riemannian manifold and finite-dimensional approximations of the Laplacian [Book]
New bounds for the principal Dirichlet eigenvalue of planar regions.
New inequalities for the jacobian
New results concerning the number of small eigenvalues on Riemann surfaces.
Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains.
Nodal sets of eigenfunctions on Riemannian manifolds.
Nodal solutions for scalar curvature type equations with perturbation terms on compact Riemannian manifolds
In this paper we study the nodal solutions for scalar curvature type equations with perturbation. The main results concern the existence of such solutions and the exact description of their zero set. From this we deduce, in particular cases, some multiplicity results.