List questions from sobolev-spaces

Published on 10 Apr 2026 - 12:44

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Given a "$L^2$ vector field", is there a function whose weak gradient is this vector field?

Published on 17 Apr 2026 - 10:36

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Density of space in a Sobolev space

Published on 12 Apr 2026 - 16:25

235

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How to use the dense theorem to prove this exercise?

Published on 11 Apr 2026 - 1:08

235

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An elementary question on Sobolev space

Published on 13 Apr 2026 - 5:58

69

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Show $W^{1,q}_0(-1,1)\subset C([-1,1])$

Published on 16 Apr 2026 - 19:03

78

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Prove that energy functional cannot be minimized

Published on 11 Apr 2026 - 7:11

386

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Equivalent norms in the subspace of Sobolev space containing only functions with zero integral

Published on 14 Apr 2026 - 4:25

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Sobolev spaces fourier norm equivalence

Published on 12 Apr 2026 - 0:09

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Space Sobolev $W^{m,p}$ complete

Published on 15 Apr 2026 - 15:02

1.8k

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$\delta_0$ in Sobolev spaces

Published on 13 Apr 2026 - 20:33

549

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An inequality for $W^{k,p}$ norms

Published on 10 Apr 2026 - 6:14

968

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Invariance under diffeomorphisms of the Sobolev $H^s$ spaces

Published on 11 Apr 2026 - 18:58

530

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A counter example to this statement

Published on 14 Apr 2026 - 5:06

108

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$W^{k,2}(\mathbb{R}^n) \hookrightarrow L^\infty(\mathbb{R}^n)$

Published on 15 Apr 2026 - 4:59

List Question

Point evaluation of $H^{k,\infty}$-functions

Given a "$L^2$ vector field", is there a function whose weak gradient is this vector field?

Density of space in a Sobolev space

How to use the dense theorem to prove this exercise?

An elementary question on Sobolev space

Show $W^{1,q}_0(-1,1)\subset C([-1,1])$

Prove that energy functional cannot be minimized

Equivalent norms in the subspace of Sobolev space containing only functions with zero integral

Sobolev spaces fourier norm equivalence

Space Sobolev $W^{m,p}$ complete

$\delta_0$ in Sobolev spaces

An inequality for $W^{k,p}$ norms

Invariance under diffeomorphisms of the Sobolev $H^s$ spaces

A counter example to this statement

$W^{k,2}(\mathbb{R}^n) \hookrightarrow L^\infty(\mathbb{R}^n)$

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