Liouville theorems for exponentially harmonic functions on Riemannian manifolds.
Liouville theorems for harmonic maps.
Liouville theorems for self-similar solutions of heat flows
Let be a compact Riemannian manifold. A quasi-harmonic sphere on is a harmonic map from to () with finite energy ([LnW]). Here is the Euclidean metric in . Such maps arise from the blow-up analysis of the heat flow at a singular point. In this paper, we prove some kinds of Liouville theorems for the quasi-harmonic spheres. It is clear that the Liouville theorems imply the existence of the heat flow to the target . We also derive gradient estimates and Liouville theorems for positive...
Local solvability of a constrained gradient system of total variation.
Locally Minimizing Harmonic Maps from Noncompact Manifolds.
Long-time existence for a solution of the equation of evolution of harmonic maps into an ellipsoid.
-harmonic flow
Maps and fields with compressible density
Mesures associées à une forme de Dirichlet. Applications
Minimal Graphs.
Minimal surfaces and the affine Toda field model.
Minimal surfaces via loop groups.
Minimizing energy among homotopic maps.
Minimizing Harmonic Mappings form a surface perfored with small holes into a riemannian manifold.
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 pseudo-harmonic maps in manifolds.
Minimizing the Energy of Maps from a surface into a 2-shpere with prescribed degree and boundary values.
Monotone approximation of energy functionals for mappings into metric spaces, I.
Multiple solutions of the Dirichlet problem for harmonic maps from discs into 2-spheres.
Multiple solutions of the static Landau-Lifshitz equation from B2 into S2.