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1 answers
7 votes
148 views
2 bookmarks
How to prove the existence of the polytope in $\mathbb{R}^d$ with a given number of faces, minimizing the isoperimetric ratio?
0 answers
6 votes
109 views
2 bookmarks
Determine the location of the boundary where the heat changes fastest
1 answers
6 votes
241 views
2 bookmarks
partition of a convex set into squares
1 answers
5 votes
232 views
4 bookmarks
Lower bound for total mean curvature among mean convex set in $3D$ with fixed volume
2 answers
5 votes
971 views
3 bookmarks
What can we say about the boundary of the level set of a Sobolev function?
1 answers
5 votes
157 views
Modified mean value property
1 answers
4 votes
97 views
1 bookmarks
minimizing weighted length of closed curves
0 answers
4 votes
102 views
Are there any nontrivial examples of $C^1$ hypersurfaces with bounded (integrable) generalized mean curvature?
0 answers
4 votes
187 views
2 bookmarks
Prove or disprove a claim about covering a polytope by convex polytopes in a certain way
0 answers
3 votes
92 views
Regularity of solution to Laplacian equation with Neumann data on Lipschitz domain
3 answers
3 votes
663 views
Gauss-Bonnet Theorem on noncompact surface without boundary
1 answers
3 votes
107 views
1 bookmarks
A question on preimage of a locally injective meromorphic function
2 answers
3 votes
515 views
3 bookmarks
Second order differentiability of subharmonic function almost everywhere?
0 answers
3 votes
77 views
2 bookmarks
divergence equation with prescribed normal trace
1 answers
3 votes
400 views
1 bookmarks
How to prove a developable surface must be ruled surface?
1 answers
3 votes
305 views
3 bookmarks
What's the predual of Holder continuous function spaces?
1 answers
3 votes
299 views
1 bookmarks
How to evolve a star-shaped mean convex set to a strictly mean convex set?
1 answers
3 votes
368 views
1 bookmarks
How to find extreme points of a set related to Minkowski's Theorem?
0 answers
2 votes
55 views
How to understand the constant rank theorem for semilinear elliptic equations
3 answers
2 votes
208 views
1 bookmarks
For globally conformally flat surfaces, does radial symmetry of conformal factor imply the surface is a sphere?
2 answers
2 votes
253 views
2 bookmarks
An ODE comparison problem
1 answers
2 votes
170 views
2 bookmarks
Are there many "cusps" in a rectfiable star-shaped set?
0 answers
2 votes
256 views
1 bookmarks
Method of proving the regularity of the minimizer of geometric variational problems
0 answers
1 votes
76 views
1 bookmarks
Counting number of distinct eigenvalues
0 answers
1 votes
41 views
Boundary estimates for Neumann derivative of solution to Laplacian equation with Dirchlet boundary data
0 answers
1 votes
36 views
On the boundary integral of Neumann eigenfunctions
2 answers
1 votes
133 views
1 bookmarks
compatification of $\mathbb{R}^2$ under a conformal metric
1 answers
1 votes
132 views
Analyze a function defined in terms of an integral
1 answers
1 votes
75 views
Assuming the conformal factor is radially decreasing, prove or disprove the uniqueness of geodesic joining origin and points on the boundary of ball
0 answers
1 votes
49 views
In a short time $0<t<T$, does the $C^{1,\alpha}$ norm of mean curvature flow depend only on $T$ and the $C^{1,\alpha}$ norm of initial surface?