List questions from sobolev-spaces

Published on 27 Mar 2026 - 3:46

131

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How are these two Banach spaces related ? (weighted $L2$ type space involving a logarithm and Besov type space)

Published on 27 Mar 2026 - 0:58

245

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The recovery of $W^{1,p}(\Omega)$ to $C^1(\Omega)$?

Published on 26 Mar 2026 - 4:36

31

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showing that $(\int_{\partial U}\vert u \vert ^q)^{\frac{1}{q}} \leq C \|u \|_{W^{1,2}(U)}$

Published on 17 Feb 2020 - 17:51

54

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Let $u$ and $v$ are in $W^{1,p}\mathbb{(R^N)}$ then $u,v \in L^{\infty}\mathbb{(R^N)} $

Published on 29 Mar 2026 - 21:55

82

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The unbounded domains do not admit compact imbeddings into $L^P$

Published on 29 Mar 2026 - 21:57

274

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generalized derivative of $\log |x|$ (sobolev derivative), where $x\in (-1,1)$

Published on 18 Feb 2020 - 14:49

120

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Pull back Sobolev function via piecewise regular polynomial map

Published on 23 Feb 2026 - 8:19

275

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Trace theorems and Sobolev Spaces in unbounded domains

Published on 25 Mar 2026 - 6:19

54

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Sobolev norm on Lawson's Spin Geometry book

Published on 21 Feb 2020 - 17:20

63

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Range of elliptic operator in sobolev space $W^{1,2}$

Published on 25 Mar 2026 - 11:26

52

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if $v\in W_0^{1,p}(\Omega)$ then $\Delta v \in W^{-1,p'}(\Omega)$

Published on 29 Mar 2026 - 21:54

129

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Prove $|\sin \frac{x}{2}|$ is a weak solution of $-u''(x)+u(x)=f$

Published on 24 Feb 2020 - 5:44

57

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Weak $W^{k,p}$-convergence implies weak $W^{m,p}$ convergence of the $\nabla^{k-m}$-sequence

Published on 26 Mar 2026 - 4:33

26

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Prove that $\delta_{x_0}\in W^{-m,p}(\Omega)$

Published on 29 Mar 2026 - 21:53

List Question

Projection of trace operator

How are these two Banach spaces related ? (weighted $L2$ type space involving a logarithm and Besov type space)

The recovery of $W^{1,p}(\Omega)$ to $C^1(\Omega)$?

showing that $(\int_{\partial U}\vert u \vert ^q)^{\frac{1}{q}} \leq C \|u \|_{W^{1,2}(U)}$

Let $u$ and $v$ are in $W^{1,p}\mathbb{(R^N)}$ then $u,v \in L^{\infty}\mathbb{(R^N)} $

The unbounded domains do not admit compact imbeddings into $L^P$

generalized derivative of $\log |x|$ (sobolev derivative), where $x\in (-1,1)$

Pull back Sobolev function via piecewise regular polynomial map

Trace theorems and Sobolev Spaces in unbounded domains

Sobolev norm on Lawson's Spin Geometry book

Range of elliptic operator in sobolev space $W^{1,2}$

if $v\in W_0^{1,p}(\Omega)$ then $\Delta v \in W^{-1,p'}(\Omega)$

Prove $|\sin \frac{x}{2}|$ is a weak solution of $-u''(x)+u(x)=f$

Weak $W^{k,p}$-convergence implies weak $W^{m,p}$ convergence of the $\nabla^{k-m}$-sequence

Prove that $\delta_{x_0}\in W^{-m,p}(\Omega)$

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