List questions from sobolev-spaces

Published on 19 Jan 2015 - 9:34

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Stuck with this function

Published on 19 Jan 2015 - 14:58

728

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Differential operator a bounded operator or not?

Published on 19 Jan 2015 - 22:44

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weak convergence of $L^2$ implies weak convergence of $W_0^{1,2}$ (up to a subsequence)?

Published on 20 Jan 2015 - 5:39

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Laplacian and Hodge Laplacian

Published on 20 Jan 2015 - 14:37

229

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log-sobolev inequalities for infinite measures.

Published on 27 Mar 2026 - 22:03

440

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Leibnitz rule for fractional derivatives

Published on 21 Jan 2015 - 11:08

106

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Boundedness of Helmholtz projection

Published on 22 Jan 2015 - 10:27

419

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Are trace function embedded in $L^\infty$?

Published on 07 Apr 2026 - 16:29

212

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Infimum of $\frac{||u'||^p_{L^p}}{||u||^p_{L^p}}$ for $u \in W^{1,p}_0((0,1))$

Published on 02 Apr 2026 - 15:16

33

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Equivalent Solovec norms (atypical)

Published on 25 Jan 2015 - 11:06

447

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Product rule in fractional Sobolev spaces

Published on 25 Jan 2015 - 17:29

116

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what is the difference between renormalized solution and entropy solutions for nonlinear elliptic PDE?

Published on 08 Apr 2026 - 15:22

163

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Inclusion of Sobolev spaces with fractional order

Published on 26 Jan 2015 - 11:14

191

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Show that elements $u \in W^{1,\infty}(U)$ have continuous representatives

Published on 26 Jan 2015 - 18:17

List Question

$\sup$ of a $C^s$ smooth function.

Stuck with this function

Differential operator a bounded operator or not?

weak convergence of $L^2$ implies weak convergence of $W_0^{1,2}$ (up to a subsequence)?

Laplacian and Hodge Laplacian

log-sobolev inequalities for infinite measures.

Leibnitz rule for fractional derivatives

Boundedness of Helmholtz projection

Are trace function embedded in $L^\infty$?

Infimum of $\frac{||u'||^p_{L^p}}{||u||^p_{L^p}}$ for $u \in W^{1,p}_0((0,1))$

Equivalent Solovec norms (atypical)

Product rule in fractional Sobolev spaces

what is the difference between renormalized solution and entropy solutions for nonlinear elliptic PDE?

Inclusion of Sobolev spaces with fractional order

Show that elements $u \in W^{1,\infty}(U)$ have continuous representatives

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