Classifications of some special infinity-harmonic maps.
Complete lifts of harmonic maps and morphisms between Euclidean spaces.
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a -valued function defined on the boundary of a bounded regular domain of . When such extensions do not exist, we use the Ginzburg-Landau relaxation procedure. We prove that, up to a subsequence, a sequence of Ginzburg-Landau minimizers, as the coupling parameter tends to infinity, converges to a unimodular harmonic map away from a codimension-2 minimal current minimizing the area within the homology...
Comportement asymptotique des fonctions harmoniques en courbure négative.
Conformal Fields and Stability.
Connecting topological Hopf singularities
Smooth maps between riemannian manifolds are often not strongly dense in Sobolev classes of finite energy maps, and an energy drop in a limiting sequence of smooth maps often is accompanied by the production (or bubbling) of an associated rectifiable current. For finite 2-energy maps from the 3 ball to the 2 sphere, this phenomenon has been well-studied in works of Bethuel-Brezis-Coron and Giaquinta-Modica-Soucek where a finite mass 1 dimensional rectifiable current occurs whose boundary is the...
Constancy of maps into -manifolds and pseudo -manifolds.
Convergence of minimizers for the p-Dirichlet integral.
Convex functionals and generalized harmonic maps into spaces of non positive curvature.
Convexity at infinity and Brownian motion on manifolds with unbounded negative curvature.
Correction to the paper "The explicit construction and parametrization of all harmonic maps from the two-sphere to a complex Grassmannian".
Correction to "Uniqueness for the harmonic map flow from surfaces to general targets".
Critical points of the distance function on the moduli space for spherical eigenmaps and minimal immersions.
Cyclic properties of the harmonic sequence of surface in CPn.