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 Apr 4 answered Douglass integral and harmonic maps Nov 26 comment Divergence free vector field on compact surface Tes m'y question can be reformulate as follow: what is the asymptotic behaviour of harmonic one form when the conformal class degenerate? Nov 25 answered How to prove the Hölder continuity of a function $u$ by evaluating $\int_{B_{\rho}(x_0)}\frac{|Du(x)|^{2}}{|x-x_0|^{n-2}} dx$? Nov 24 asked Divergence free vector field on compact surface Nov 21 answered Compact surface with arbitrarily large eigenvalue Oct 23 revised harmonic extension of a curve by different parametrization added 7 characters in body Oct 22 revised harmonic extension of a curve by different parametrization added 671 characters in body; edited tags Oct 19 comment Elliptic regularity for two dimensional domains Yes it is. If u=ln(ln(r)), then \nabla u \in L^2 but conclusion fails Oct 19 answered Elliptic regularity for two dimensional domains Oct 18 awarded Nice Question Oct 18 comment Regularity up to the boundary for the Poisson problem you can llok to Gilbard Trudinger or the courant lecture notes by Han Lin Oct 18 comment Gauss curvature flow Is that clear, that the condition $\langle x, \nu \rangle=K$ is preserved? Else it looks good. Oct 18 comment harmonic extension of a curve by different parametrization Thanks for the Answer. The first point was indeed "easy". In fact I know quite well the solution of Douglas-Rado (through Struwe's book). lik in lawson, he minimise the energy among conformal parametrisation. But since my goal is 3)(1) and 2) are a try to make more explicit), it can't be adapted here. If we consider $h:z\mapsto z+ z^2/4$ , $\vert h(\mathbb{D})\vert=9/8$, but $\vert h'(0)\vert=1$ and any conformal reparametrization(using mobius group) will be below $9/8$. Oct 17 revised harmonic extension of a curve by different parametrization added 55 characters in body Oct 17 revised harmonic extension of a curve by different parametrization edited tags Oct 16 revised harmonic extension of a curve by different parametrization added 960 characters in body Oct 16 revised harmonic extension of a curve by different parametrization added 1 character in body; edited title Oct 16 asked harmonic extension of a curve by different parametrization Sep 16 answered Equivalence of Harmonic Maps and Conformal Maps on Genus-0 closed surfaces Jun 25 comment Decomposition of a closed surface yes I mean homotopy. have you a reference for the pants decomposition? because I need minimizing representant without intersection... who is Shepard?Thx