User mlk

148 votes

Short exact sequences every mathematician should know

answered Jun 22, 2020 at 10:07

25 votes

On which regions can Green's theorem not be applied?

answered Apr 28, 2020 at 9:53

24 votes

Situations where “naturally occurring” mathematical objects behave very differently from “typical” ones

answered Jul 26, 2021 at 20:03

11 votes

Accepted

Is there a version of the Poincaré–Hopf theorem for manifold with corners?

answered Feb 6, 2022 at 14:35

10 votes

Accepted

Background for Varifold theory

answered May 24, 2021 at 12:30

9 votes

Examples of "unsuccessful" theories with afterlives

answered Sep 20, 2019 at 8:40

8 votes

Accepted

Riemann rearrangement theorem for $L^1$ functions

answered Apr 29, 2021 at 7:10

6 votes

What is Young measure?

answered May 27, 2021 at 15:45

6 votes

Accepted

General formulas for derivative of $f_n(x)=\dfrac{ax^n+bx^{n-1}+cx^{n-2}+\cdots}{a'x^n+b'x^{n-1}+c'x^{n-2}+\cdots},\quad a'\neq0$

answered Jun 27, 2021 at 11:19

6 votes

Accepted

Is the $W^{1, \infty}$ limit of differentiable a.e. functions also differentiable a.e.?

answered May 23 at 8:59

5 votes

Accepted

Hausdorff dimension of the zero set of $\nabla f$

answered Jun 21 at 7:25

5 votes

Accepted

Existence of directional heat equation without uniform ellipticity

answered Jul 30 at 11:29

5 votes

Accepted

One or all R^3 Navier-Stokes solutions?

answered Aug 4, 2022 at 17:24

4 votes

Accepted

Regular Lagrangian flow for "square root example": $\frac{d}{dt} X(t,x) = \sqrt{X(t,x)}$

answered Jul 24, 2022 at 11:40

4 votes

Average of the sum of dirac measures

answered Jan 28, 2021 at 16:39

4 votes

Maximal Hausdorff dimension of the set on which derivatives do not agree

answered Apr 12, 2021 at 7:08

4 votes

Accepted

Averaging the mass of a Sobolev function $f\in W^{1,p}(\Omega)$ near $\partial\Omega$

answered Jan 5, 2021 at 17:03

3 votes

Accepted

Fast algorithms for calculating the distance between measures on finite ultrametric spaces

answered Sep 28, 2020 at 10:30

3 votes

Accepted

Arzela-Ascoli for L_p-norm

answered Nov 15, 2019 at 15:26

3 votes

When is a bi-Lipschitz homeomorphism smoothable?

answered Jul 20, 2020 at 10:04

3 votes

Accepted

Tangent cone of null sets

answered Jun 21, 2021 at 6:41

3 votes

Accepted

Interchange of integration and supremum

answered May 5, 2021 at 20:44

3 votes

Accepted

Growth and shrinking rate of measurable sets along the boundary

answered May 21, 2021 at 13:27

3 votes

How to get a research paper published after the author has died?

answered Jun 22, 2022 at 15:27

3 votes

Indecomposable integral currents

answered Nov 29, 2022 at 20:59

3 votes

Accepted

Must a Schauder basis for $W^{1,p}_0(\Omega)$ be oscillatory?

answered Aug 21, 2021 at 10:47

3 votes

Can I find $n$ points on the boundary of an $n$-dimensional ball with certain properties?

answered Aug 8 at 10:02

3 votes

Accepted

Hausdorff dimension of the zero set of the gradient of an eikonal function

answered Jun 24 at 12:32

3 votes

Accepted

How to interpret the vector fields $F_p(x,u,Du)$ in a Lagrangian optimization problem

answered Feb 1 at 9:46

3 votes

Densities, pseudoforms, absolute differential forms and measures, differential forms, etc

answered Mar 24 at 22:16

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48 Answers

Short exact sequences every mathematician should know

On which regions can Green's theorem not be applied?

Situations where “naturally occurring” mathematical objects behave very differently from “typical” ones

Is there a version of the Poincaré–Hopf theorem for manifold with corners?

Background for Varifold theory

Examples of "unsuccessful" theories with afterlives

Riemann rearrangement theorem for $L^1$ functions

What is Young measure?

General formulas for derivative of $f_n(x)=\dfrac{ax^n+bx^{n-1}+cx^{n-2}+\cdots}{a'x^n+b'x^{n-1}+c'x^{n-2}+\cdots},\quad a'\neq0$

Is the $W^{1, \infty}$ limit of differentiable a.e. functions also differentiable a.e.?

Hausdorff dimension of the zero set of $\nabla f$

Existence of directional heat equation without uniform ellipticity

One or all R^3 Navier-Stokes solutions?

Regular Lagrangian flow for "square root example": $\frac{d}{dt} X(t,x) = \sqrt{X(t,x)}$

Average of the sum of dirac measures

Maximal Hausdorff dimension of the set on which derivatives do not agree

Averaging the mass of a Sobolev function $f\in W^{1,p}(\Omega)$ near $\partial\Omega$

Fast algorithms for calculating the distance between measures on finite ultrametric spaces

Arzela-Ascoli for L_p-norm

When is a bi-Lipschitz homeomorphism smoothable?

Tangent cone of null sets

Interchange of integration and supremum

Growth and shrinking rate of measurable sets along the boundary

How to get a research paper published after the author has died?

Indecomposable integral currents

Must a Schauder basis for $W^{1,p}_0(\Omega)$ be oscillatory?

Can I find $n$ points on the boundary of an $n$-dimensional ball with certain properties?

Hausdorff dimension of the zero set of the gradient of an eikonal function

How to interpret the vector fields $F_p(x,u,Du)$ in a Lagrangian optimization problem

Densities, pseudoforms, absolute differential forms and measures, differential forms, etc