Minimal immersions of surfaces by the first Eigenfunctions and conformal area.
Minimal, rigid foliations by curves on
We prove the existence of minimal and rigid singular holomorphic foliations by curves on the projective space for every dimension and every degree . Precisely, we construct a foliation which is induced by a homogeneous vector field of degree , has a finite singular set and all the regular leaves are dense in the whole of . Moreover, satisfies many additional properties expected from chaotic dynamics and is rigid in the following sense: if is conjugate to another holomorphic foliation...
Minimal surface maps, fixed point indices and a Jiang-Guo type inequality
Minimal surfaces and deformations of holomorphic curves in Kähler-Einstein manifolds
Minimal surfaces and the affine Toda field model.
Minimal surfaces, the Dirac operator and the Penrose inequality
Minimal surfaces via loop groups.
Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
Minimax theorems on manifolds via Ekeland variational principle.
Minimization problems with lack of compactness
Minimizers of Dirichlet functionals on the -torus and the weak KAM theory
Minimizing energy among homotopic maps.
Minimizing Harmonic Mappings form a surface perfored with small holes into a riemannian manifold.
Minimizing movements for dislocation dynamics with a mean curvature term
We prove existence of minimizing movements for the dislocation dynamics evolution law of a propagating front, in which the normal velocity of the front is the sum of a non-local term and a mean curvature term. We prove that any such minimizing movement is a weak solution of this evolution law, in a sense related to viscosity solutions of the corresponding level-set equation. We also prove the consistency of this approach, by showing that any minimizing movement coincides with the smooth evolution...
Minimizing -harmonic maps at a free boundary
Studiamo le proprietà di regolarità delle mappe fra varietà di Riemann che minimizzano la -energia fra quelle che soddisfano una condizione di frontiera pazialmente libera. Proviamo che tali mappe sono Hölder continue vicino alla frontiera libera fuori di un insieme singolare, e otteniamo stime ottimali per la dimensione di Hausdorff di questo insieme singolare.
Minimizing p-harmonic maps into spheres.
Minimizing pseudo-harmonic maps in manifolds.
Minimizing the Energy of Maps from a surface into a 2-shpere with prescribed degree and boundary values.
Minoration de la première valeur propre non nulle du problème de Neumann sur les variétés riemanniennes à bord
On établit une minoration pour la première valeur propre non nulle du problème de Neumann sur les variétés riemanniennes à bord; la nécessité des bornes géométriques utilisées est illustrée par une série d’exemples. Cette approche prolonge celle de Li-Yau, qui était limitée à l’étude du cas où le bord est convexe.
Minoration du spectre des variétés hyperboliques de dimension 3
Soit une variété hyperbolique compacte de dimension 3, de diamètre et de volume . Si on note la -ième valeur propre du laplacien de Hodge-de Rham agissant sur les 1-formes coexactes de , on montre que et , où est une constante ne dépendant que de , et est le nombre de composantes connexes de la partie mince de . En outre, on montre que pour toute 3-variété hyperbolique de volume fini avec cusps, il existe une suite de remplissages compacts de , de diamètre telle que et .