List questions from sobolev-spaces

Published on 25 Mar 2026 - 6:32

38

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Is true that $H^{s,p}(\mathbb{R}^n)\subset C^k(\mathbb{R}^n)$ with $s-k>n/p$?.

Published on 25 Mar 2026 - 6:28

26

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What means a Riemannian manifold be in a function space?

Published on 02 Mar 2026 - 6:44

236

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Show that a constant function does not lie in $W_0^{1,1}((-1,1))$

Published on 26 Mar 2026 - 14:19

66

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Show that $(\int_\Omega |\nabla u|^2 + \int_\Omega |u|^2)^{1/2}$ is a norm in $H_0^1$

Published on 28 Mar 2020 - 14:53

85

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Is this dense embedding true?

Published on 30 Mar 2020 - 16:50

142

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Derivation of Potential Estimate

Published on 01 Apr 2026 - 20:34

820

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The Sobolev embedding inequality on manifolds

Published on 25 Mar 2026 - 12:55

236

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Supremum norm of $-f$

Published on 01 Apr 2020 - 6:19

48

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Lemma involving Sobolev spaces and compact sets

Published on 02 Apr 2020 - 21:44

94

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Show a BMO function not in $W^{1,n}(Q, \mathbb{R})$

Published on 04 Apr 2020 - 15:28

284

Views

Are the elements of $H^1_0(\Omega)$ bounded almost everywhere?

Published on 05 Apr 2020 - 1:30

1.9k

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Embedding Sobolev $H^1$ into $L^\infty$ space

Published on 26 Mar 2026 - 21:05

70

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Characterization of space $D(A^2)$ in semigroup theory for laplacian operator

Published on 26 Mar 2026 - 1:34

368

Views

Motivation/application of the characterisation of separable Hilbert spaces (and/or Sobolev spaces) to PDEs

Published on 08 Apr 2020 - 12:19

List Question

Is true that $H^{s,p}(\mathbb{R}^n)\subset C^k(\mathbb{R}^n)$ when $s-k>n/p$?.

Is true that $H^{s,p}(\mathbb{R}^n)\subset C^k(\mathbb{R}^n)$ with $s-k>n/p$?.

What means a Riemannian manifold be in a function space?

Show that a constant function does not lie in $W_0^{1,1}((-1,1))$

Show that $(\int_\Omega |\nabla u|^2 + \int_\Omega |u|^2)^{1/2}$ is a norm in $H_0^1$

Is this dense embedding true?

Derivation of Potential Estimate

The Sobolev embedding inequality on manifolds

Supremum norm of $-f$

Lemma involving Sobolev spaces and compact sets

Show a BMO function not in $W^{1,n}(Q, \mathbb{R})$

Are the elements of $H^1_0(\Omega)$ bounded almost everywhere?

Embedding Sobolev $H^1$ into $L^\infty$ space

Characterization of space $D(A^2)$ in semigroup theory for laplacian operator

Motivation/application of the characterisation of separable Hilbert spaces (and/or Sobolev spaces) to PDEs

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