User Jean Van Schaftingen

3 votes

On the definition of symmetric rearrangement

answered Mar 5 at 8:05

1 vote

Lower bound for coercive polynomials, II

answered Jun 28, 2023 at 13:23

2 votes

Accepted

What does Landau symbol mean in an inequality?

answered Dec 20, 2022 at 12:04

2 votes

Trace theorem for magnetic Sobolev spaces

answered May 6, 2019 at 9:10

0 votes

How to refer to a “theorem” that you have shown to be wrong

answered Feb 3, 2019 at 19:22

5 votes

Accepted

A specific problem on : Can bounding the Sobolev norm, bound a higher derivative?

answered Oct 17, 2018 at 18:02

3 votes

Accepted

Why $\|u\|_{\tau}\leq C[u]_{W^{s,p}}^a\|u\|_{L^q}^{1-a}$ not correct for $p=1$?

answered May 7, 2018 at 9:13

3 votes

Accepted

Is this space compactly contained in $L^p((0,\infty),rdr)$ for all $p\geq 2$?

answered Jan 26, 2018 at 16:37

3 votes

Is there an example of a one to one and onto mapping between these two spaces?

answered Aug 21, 2017 at 10:59

3 votes

Sobolev trace theorem on Lipschitz domains

answered Jul 14, 2017 at 8:14

10 votes

What is the standard notation for reversing the order of vector's components?

answered Dec 9, 2016 at 11:56

9 votes

Accepted

The Hölder inequality for fractional order Sobolev seminorm?

answered Nov 16, 2016 at 15:35

6 votes

Accepted

Are Sobolev spaces on non-compact manifolds separable?

answered Feb 24, 2016 at 16:34

1 vote

Accepted

Strong Maximum Principle for very weak supersolutions of Laplacian operator

answered Oct 28, 2015 at 9:13

1 vote

Accepted

Condition to obtain a not compact embedding

answered May 28, 2015 at 6:50

12 votes

Accepted

Gagliardo Nirenberg inequality for the laplacian

answered Aug 17, 2015 at 12:31

35 votes

Proof for the derivative of the determinant of a matrix

answered Aug 17, 2015 at 8:17

1 vote

Bounded input Bounded output stability for heat equation

answered Aug 7, 2015 at 14:48

4 votes

Equivalent Norms on Sobolev Spaces

answered Jul 3, 2015 at 9:22

1 vote

Accepted

How to modify a $H^1$ weak convergence sequence so that I have the $L^2$ equi-integrability of gradient?

answered Jun 25, 2015 at 10:47

4 votes

Accepted

Generalization of maximum principle to other norms

answered Jun 19, 2015 at 9:06

3 votes

Accepted

Horizontal Sobolev space on Carnot group

answered May 11, 2015 at 7:52

5 votes

Accepted

Reference request: Riesz potential $I_\alpha : L^{d/\alpha} \to \rm{BMO}$?

answered Apr 27, 2015 at 13:34

2 votes

Sobolev trace map: is the fractional seminorm bounded by just the gradient?

answered Apr 21, 2015 at 12:11

4 votes

Accepted

Is there a name for the function on $TTM$ swapping the 2nd and 3rd coordinates?

answered Mar 10, 2015 at 17:14

2 votes

Accepted

Sobolev's lemma on manifolds

answered Mar 9, 2015 at 16:18

2 votes

Do extracted weak $H^{1,2}$-limits and $C^0$-limits coincide?

answered Mar 4, 2015 at 10:46

1 vote

Accepted

$u_n$ bounded in $L^\infty(0,T;H) \cap L^2(0,T;V)$ implies $u_n \to u$ strongly in $L^2(0,T;H)$?

answered Mar 3, 2015 at 7:35

3 votes

Infinite dimensional Cauchy-Lipschitz theorem

answered Mar 3, 2015 at 10:59

3 votes

"Schwarz symmetrization" on annulus

answered Feb 23, 2015 at 12:28

Stack Exchange Network

49 Answers

On the definition of symmetric rearrangement

Lower bound for coercive polynomials, II

What does Landau symbol mean in an inequality?

Trace theorem for magnetic Sobolev spaces

How to refer to a “theorem” that you have shown to be wrong

A specific problem on : Can bounding the Sobolev norm, bound a higher derivative?

Why $\|u\|_{\tau}\leq C[u]_{W^{s,p}}^a\|u\|_{L^q}^{1-a}$ not correct for $p=1$?

Is this space compactly contained in $L^p((0,\infty),rdr)$ for all $p\geq 2$?

Is there an example of a one to one and onto mapping between these two spaces?

Sobolev trace theorem on Lipschitz domains

What is the standard notation for reversing the order of vector's components?

The Hölder inequality for fractional order Sobolev seminorm?

Are Sobolev spaces on non-compact manifolds separable?

Strong Maximum Principle for very weak supersolutions of Laplacian operator

Condition to obtain a not compact embedding

Gagliardo Nirenberg inequality for the laplacian

Proof for the derivative of the determinant of a matrix

Bounded input Bounded output stability for heat equation

Equivalent Norms on Sobolev Spaces

How to modify a $H^1$ weak convergence sequence so that I have the $L^2$ equi-integrability of gradient?

Generalization of maximum principle to other norms

Horizontal Sobolev space on Carnot group

Reference request: Riesz potential $I_\alpha : L^{d/\alpha} \to \rm{BMO}$?

Sobolev trace map: is the fractional seminorm bounded by just the gradient?

Is there a name for the function on $TTM$ swapping the 2nd and 3rd coordinates?

Sobolev's lemma on manifolds

Do extracted weak $H^{1,2}$-limits and $C^0$-limits coincide?

$u_n$ bounded in $L^\infty(0,T;H) \cap L^2(0,T;V)$ implies $u_n \to u$ strongly in $L^2(0,T;H)$?

Infinite dimensional Cauchy-Lipschitz theorem

"Schwarz symmetrization" on annulus