754 reputation
514
bio website math.sunysb.edu/~vpingli
location
age
visits member for 4 years, 8 months
seen Sep 28 at 23:02
Graduate student at SUNY stony brook (5th year PhD student).

Sep
24
awarded  Autobiographer
Jul
2
awarded  Inquisitive
Jul
2
awarded  Curious
Nov
19
comment A continuous version of Teichmuller uniqueness
Sorry. I was being silly.
Nov
19
accepted A continuous version of Teichmuller uniqueness
Nov
19
revised A continuous version of Teichmuller uniqueness
Changed an assumption
Nov
19
comment A continuous version of Teichmuller uniqueness
Yes x is the norm of the Teichmuller map. Sorry, I am a novice in this field. So you are saying that if the $L^{\infty}$ norms of some Beltramis get close to the extremal $L^{\infty}$, then the corresponding q.c maps get close in the uniform topology (also I don't want just a subsequence but the entire sequence to converge)? If so, can you cite a reference. Thanks a million!
Nov
19
asked A continuous version of Teichmuller uniqueness
Nov
14
answered Solutions of the $\overline{\partial}$ equation in the upper half-plane
Jun
18
awarded  Popular Question
May
17
asked Vector bundles on Stein Manifolds
Apr
22
accepted Density of smooth functions in Sobolev spaces on manifolds
Apr
4
comment Density of smooth functions in Sobolev spaces on manifolds
For bounded domains in Euclidean space, this is true (Evans' book). It gets tricky when one wants to approximate by smooth functions that smooth upto the boundary.
Apr
3
revised Density of smooth functions in Sobolev spaces on manifolds
Changed tags
Apr
3
asked Density of smooth functions in Sobolev spaces on manifolds
Jan
29
awarded  Yearling
Oct
26
comment monge-ampere operator
This isn't a complete answer, but may help. For smooth u_k, u_k >v is an open set. For non-smooth u, this is not necessarily the case. It may have a boundary. Just outside the boundary max(u,v) = v and inside max(u,v) = u. So, whilst testing the current against test functions whose support "ends" at the boundary, it isn't obvious (to me) that dd^c(max(u,v)) = dd^c (u).
Sep
17
awarded  Popular Question
Sep
4
accepted Alexandrov-Bakelmann-Pucci maximum principle
Sep
4
revised Alexandrov-Bakelmann-Pucci maximum principle
corrected typos