List questions from sobolev-spaces

Published on 11 Feb 2019 - 11:00

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Sobolev Spaces subsets of each other?

Published on 15 Feb 2019 - 14:28

44

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$H^s(\mathbb R^d) \subset \bigcap_{2<p<\infty} L^p(\mathbb R^d)$ $0<s<1/2$?

Published on 25 Mar 2026 - 1:41

109

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Can we say anything about the first distributional derivatives of $g$, where $g$ is the solution to $-\Delta g =f\in L^p$ given by Riesz potential?

Published on 26 Mar 2026 - 6:23

138

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Can we extend the Riesz potential convolution operator for the Laplacian to a continuous operator from $L^p$ to $\mathcal{S}'$ if $p\ge\frac{n}{2}$?

Published on 25 Mar 2026 - 1:38

460

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Weak convergence in $W^{1,p}(\Omega)$

Published on 26 Mar 2026 - 16:05

1.3k

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Does integral of function against all test function derivative imply function is equal to 0?

Published on 17 Feb 2019 - 11:41

219

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Hardy-Littlewood Inequality for Sobolev spaces

Published on 17 Feb 2019 - 16:55

950

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Function in H(curl) $\cap$ H(div), but not in H1

Published on 26 Mar 2026 - 16:26

57

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Norm Inequality for 1 Dimensional Sobolev Space

Published on 25 Mar 2026 - 6:08

711

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Understanding the minimal and maximal closed extensions of Laplace operator

Published on 19 Feb 2019 - 11:58

106

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eigenfunctions of laplacian on infinite strip

Published on 26 Mar 2026 - 16:06

383

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weak convergence of weak derivative in Sobolev Spaces

Published on 27 Mar 2026 - 8:17

208

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Norm inequality in Sobolev space $H^s$ as algebra for $s>n/2$.

Published on 19 Feb 2019 - 16:58

1k

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Embedding for homogeneous Sobolev spaces

Published on 21 Feb 2019 - 6:08

List Question

Compact Imbedding on weighted Sobolev Spaces

Sobolev Spaces subsets of each other?

$H^s(\mathbb R^d) \subset \bigcap_{2<p<\infty} L^p(\mathbb R^d)$ $0<s<1/2$?

Can we say anything about the first distributional derivatives of $g$, where $g$ is the solution to $-\Delta g =f\in L^p$ given by Riesz potential?

Can we extend the Riesz potential convolution operator for the Laplacian to a continuous operator from $L^p$ to $\mathcal{S}'$ if $p\ge\frac{n}{2}$?

Weak convergence in $W^{1,p}(\Omega)$

Does integral of function against all test function derivative imply function is equal to 0?

Hardy-Littlewood Inequality for Sobolev spaces

Function in H(curl) $\cap$ H(div), but not in H1

Norm Inequality for 1 Dimensional Sobolev Space

Understanding the minimal and maximal closed extensions of Laplace operator

eigenfunctions of laplacian on infinite strip

weak convergence of weak derivative in Sobolev Spaces

Norm inequality in Sobolev space $H^s$ as algebra for $s>n/2$.

Embedding for homogeneous Sobolev spaces

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