Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type
Remarks on an eigenvalue problem associated with the -Laplace operator.
Remarks on approximate harmonic maps.
Remarks on critical exponents for hessian operators
Remarks on inflated mappings
Remarks on Krasnoselskii bifurcation theorem
Remarks on periodic solutions, with prescribed energy, for singular Hamiltonian systems
Remarks on the Yamabe problem and the Palais-Smale condition
Remarques sur les équations de Navier-Stokes stationnaires
Removability of singularities of harmonic maps into pseudo-riemannian manifolds
Representations of hypersurfaces and minimal smoothness of the midsurface in the theory of shells
Résolution des équations semilinéaires avec la partie linéaire à noyau de dimension infinie via des applications A-propres [Book]
Restriction de la distance géodésique à un arc et rigidité
Revisiting the construction of gap functions for variational inequalities and equilibrium problems via conjugate duality
Based on conjugate duality we construct several gap functions for general variational inequalities and equilibrium problems, in the formulation of which a so-called perturbation function is used. These functions are written with the help of the Fenchel-Moreau conjugate of the functions involved. In case we are working in the convex setting and a regularity condition is fulfilled, these functions become gap functions. The techniques used are the ones considered in [Altangerel L., Boţ R.I., Wanka...
Ricci flow coupled with harmonic map flow
We investigate a coupled system of the Ricci flow on a closed manifold with the harmonic map flow of a map from to some closed target manifold ,where is a (possibly time-dependent) positive coupling constant. Surprisingly, the coupled system may be less singular than the Ricci flow or the harmonic map flow alone. In particular, we can always rule out energy concentration of a-priori by choosing large enough. Moreover, it suffices to bound the curvature of to also obtain control of ...
Riemannian geometries on spaces of plane curves
We study some Riemannian metrics on the space of smooth regular curves in the plane, viewed as the orbit space of maps from to the plane modulo the group of diffeomorphisms of , acting as reparametrizations. In particular we investigate the metric, for a constant , where is the curvature of the curve and , are normal vector fields to . The term is a sort of geometric Tikhonov regularization because, for , the geodesic distance between any two distinct curves is 0, while for the...
Right closing almost conjugacy for G-shifts of finite type
A G-shift of finite type (G-SFT) is a shift of finite type which commutes with the continuous action of a finite group G. For irreducible G-SFTs we classify right closing almost conjugacy, answering a question of Bill Parry.
Rigidity and gluing for Morse and Novikov complexes
We obtain rigidity and gluing results for the Morse complex of a real-valued Morse function as well as for the Novikov complex of a circle-valued Morse function. A rigidity result is also proved for the Floer complex of a hamiltonian defined on a closed symplectic manifold with . The rigidity results for these complexes show that the complex of a fixed generic function/hamiltonian is a retract of the Morse (respectively Novikov or Floer) complex of any other sufficiently close generic function/hamiltonian....
Rigidity of Furstenberg entropy for semisimple Lie group actions
Rigidity of group actions