A discreteness criterion for the spectrum of the Laplace--Beltrami operator on quasimodel manifolds.
A double complex related with a system of partial differential equations. II
A double complex related with a system of partial differential equations. I
A double eigenvalue problem for Schrödinger equations involving sublinear nonlinearities at infinity.
A Fatou-Julia decomposition of transversally holomorphic foliations
A Fatou-Julia decomposition of transversally holomorphic foliations of complex codimension one was given by Ghys, Gomez-Mont and Saludes. In this paper, we propose another decomposition in terms of normal families. Two decompositions have common properties as well as certain differences. It will be shown that the Fatou sets in our sense always contain the Fatou sets in the sense of Ghys, Gomez-Mont and Saludes and the inclusion is strict in some examples. This property is important when discussing...
A few symmetry results for nonlinear elliptic PDE on noncompact manifolds
A finiteness theorem of harmonic maps form compact Lie groups to OHS(H).
A fixed point formula of Lefschetz type in Arakelov geometry II: A residue formula
This is the second of a series of papers dealing with an analog in Arakelov geometry of the holomorphic Lefschetz fixed point formula. We use the main result of the first paper to prove a residue formula "à la Bott" for arithmetic characteristic classes living on arithmetic varieties acted upon by a diagonalisable torus; recent results of Bismut- Goette on the equivariant (Ray-Singer) analytic torsion play a key role in the proof.
A fixed point theorem for a class of multi-valued continuously differentiable maps
A framework for Morse theory for the Yang-Mills functional.
A free boundary problem involving limiting Sobolev exponents.
A Free Convenient Vector Space for Holomorphic Spaces.
A fully nonlinear version of the Yamabe problem on manifolds with boundary
We propose to study a fully nonlinear version of the Yamabe problem on manifolds with boundary. The boundary condition for the conformal metric is the mean curvature. We establish some Liouville type theorems and Harnack type inequalities.
A functorial approach to differential characters.
A Fundamental Property of Monge Characteristics in Involutive Systems of Non-Linear Partial Differential Equations and its Application.
A general approximation theorem for Hilbert cube manifolds
A general asymptotic fixed point theorem.
A general background of higher order geometry and induced objects on subspaces.
A general class of Gevrey-type pseudo differential operators
A general controllability theorem