List questions from sobolev-spaces

Published on 02 Apr 2026 - 4:27

50

Views

What exactly is the "real interpolation space" $(L^q, W^{2,q})_{1-p^{-1},p}$ for $1<p,q<\infty$?

Published on 25 Mar 2026 - 9:10

74

Views

Evans book and hilbert sobolev space valued functions

Published on 27 Aug 2023 - 14:07

67

Views

Does a bounded sequence in $W^{1,1}(\Omega)$ necessarily have a weakly convergent subsequence?

Published on 10 Aug 2023 - 21:55

113

Views

How to prove$|\cdot|^{s}g\in\mathcal{S}'$? a question from Bahouri-Chemin-Danchin book "fourier analysis and nonlinear pde"

Published on 25 Mar 2026 - 22:05

86

Views

Sobolev regularity required for $|\nabla u|^2 \in H^1(\Omega)$

Published on 25 Mar 2026 - 21:22

68

Views

Show $f(x)=\frac{1}{|x|^{1/4}}\in H^{1/2}(B)$ by definition.

Published on 30 Aug 2023 - 14:26

61

Views

Question regarding proof of compact embedding of $W^{1,p}(U)$ into $L^q(U)$

Published on 31 Aug 2023 - 2:19

135

Views

A question about Theorem 3 in the section 5.6.1. of Evans' PDE book

Published on 31 Aug 2023 - 11:41

87

Views

Derivation in the sense of distributions

Published on 02 Apr 2026 - 4:31

95

Views

Jumps in Sobolev functions

Published on 31 Aug 2023 - 19:28

128

Views

$H^{1}(\mathbb{R})$ functions vanish at infinity?

Published on 31 Aug 2023 - 20:31

30

Views

The function $g(x) =\begin{cases} 1 &\text{if} \quad x\in [0, 1), \\ -1 &\text{if} \quad x \in (-1, 0) \end{cases}$ does not belong to $W^{1, p} (I)$

Published on 03 Sep 2023 - 14:19

70

Views

Meaning of combined $L^p$ and Sobolev spaces in fluid dynamics

Published on 28 Mar 2026 - 16:04

51

Views

A simpler approach to Brezis' Proposition 8.5

Published on 06 Apr 2026 - 12:56

List Question

Sum in the distributional sense

What exactly is the "real interpolation space" $(L^q, W^{2,q})_{1-p^{-1},p}$ for $1<p,q<\infty$?

Evans book and hilbert sobolev space valued functions

Does a bounded sequence in $W^{1,1}(\Omega)$ necessarily have a weakly convergent subsequence?

How to prove$|\cdot|^{s}g\in\mathcal{S}'$? a question from Bahouri-Chemin-Danchin book "fourier analysis and nonlinear pde"

Sobolev regularity required for $|\nabla u|^2 \in H^1(\Omega)$

Show $f(x)=\frac{1}{|x|^{1/4}}\in H^{1/2}(B)$ by definition.

Question regarding proof of compact embedding of $W^{1,p}(U)$ into $L^q(U)$

A question about Theorem 3 in the section 5.6.1. of Evans' PDE book

Derivation in the sense of distributions

Jumps in Sobolev functions

$H^{1}(\mathbb{R})$ functions vanish at infinity?

The function $g(x) =\begin{cases} 1 &\text{if} \quad x\in [0, 1), \\ -1 &\text{if} \quad x \in (-1, 0) \end{cases}$ does not belong to $W^{1, p} (I)$

Meaning of combined $L^p$ and Sobolev spaces in fluid dynamics

A simpler approach to Brezis' Proposition 8.5

Trending Questions

Popular # Hahtags

Popular Questions