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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 |
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Gauss curvature flow
Is that clear, that the condition $\langle x, \nu \rangle=K$ is preserved? Else it looks good. |
Oct
18 |
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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 |
Jun
24 |
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Decomposition of a closed surface
Thanks for the answer. Can you give me more references. Notably,about the theorem you invoke. it is not totally clear to me since an homology class is like a open cylinder, and without the negative curvature assumption, perhaps the minimum is not achieved? And I didn't also find a Shepard at UCB... Thanks again for your help!! |