List questions from sobolev-spaces

Published on 14 Dec 2018 - 16:24

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Subsolution of Laplace equation

Published on 26 Mar 2026 - 6:25

85

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A function in $W^{2,p}$ for $p>n/2$ is a.e. second differentiable

Published on 26 Mar 2026 - 19:27

828

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Differentiation in $L^p$ and Weak Differentiation.

Published on 25 Mar 2026 - 12:55

51

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Existence of solution to Laplace equation

Published on 26 Mar 2026 - 4:52

251

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If $u\in H^1_0(\Omega)\cap C(\Omega)$ is it true that $u\in H^1_0(\{u>0\})$?

Published on 19 Dec 2018 - 5:45

93

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About positivity of a solution to a sub-critical semilinear elliptic problem

Published on 25 Mar 2026 - 6:04

78

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Prove that $\max(||f||_{\infty},||f'||_{\infty})\leq \frac12 \|f'\|_{L^2([0,1])}$

Published on 20 Dec 2018 - 20:08

637

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Showing that Sobolev norms on manifolds are equivalent

Published on 24 Dec 2018 - 5:06

73

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Proving the weak closure of Sobolev Spaces,

Published on 28 Mar 2026 - 15:26

237

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Bounded sequence in Sobolev Space

Published on 26 Dec 2018 - 17:48

117

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Does Weak Convergence in $W^{1,2}$ imply weak convergence in $W^{1,4}$

Published on 28 Mar 2026 - 15:26

1.1k

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composition of functions in sobolev space

Published on 29 Dec 2018 - 7:11

470

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Where to find Periodic Sobolev spaces?

Published on 29 Dec 2018 - 11:35

22

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An inquiry on Sobolev space

Published on 30 Dec 2018 - 12:10

List Question

About Sobolev Space definition.

Subsolution of Laplace equation

A function in $W^{2,p}$ for $p>n/2$ is a.e. second differentiable

Differentiation in $L^p$ and Weak Differentiation.

Existence of solution to Laplace equation

If $u\in H^1_0(\Omega)\cap C(\Omega)$ is it true that $u\in H^1_0(\{u>0\})$?

About positivity of a solution to a sub-critical semilinear elliptic problem

Prove that $\max(||f||_{\infty},||f'||_{\infty})\leq \frac12 \|f'\|_{L^2([0,1])}$

Showing that Sobolev norms on manifolds are equivalent

Proving the weak closure of Sobolev Spaces,

Bounded sequence in Sobolev Space

Does Weak Convergence in $W^{1,2}$ imply weak convergence in $W^{1,4}$

composition of functions in sobolev space

Where to find Periodic Sobolev spaces?

An inquiry on Sobolev space

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