List questions from sobolev-spaces

Published on 17 Apr 2026 - 6:45

66

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Understanding a proof related to mollifiers

Published on 13 Apr 2026 - 16:57

140

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Gagliardo-Niremberg inequality on annuli (proof)

Published on 14 Apr 2026 - 3:07

712

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Recovering classical solution from weak one for the Laplace equation

Published on 29 Apr 2026 - 12:51

549

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Question on definition of $\;\alpha-$Holder norms

Published on 07 May 2026 - 10:09

140

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Localization of Sobolev functions is continuous

Published on 01 May 2026 - 13:36

44

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How we obtain this limit on an integral?

Published on 08 Apr 2026 - 5:58

243

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Counter example for analogous Poincare inequality does not hold on Fractional Sobolev spaces

Published on 29 Apr 2026 - 8:30

172

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$\mathbb{1}_{B_1(0)}$ doesn't have a $\partial_{x_i}$weak derivative in $\mathbb{R}^n$

Published on 07 May 2026 - 19:51

81

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Do elliptic operators $L=-a^{ij}\partial_{i}\partial_j+b^i\partial_i+c$ map $H^1(\Omega)$ into $H^{-1}(\Omega)$ for $a^{ij},b^i,c\in L^\infty$?

Published on 15 Apr 2026 - 8:55

155

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Solving $\operatorname{div}(a(\frac{.}{\epsilon}) \nabla(u_\epsilon)) = -\operatorname{div}(f)$ (partial differential equation)

Published on 16 Apr 2026 - 0:22

371

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Regularity of Parabolic PDE's

Published on 29 Apr 2026 - 12:48

379

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Sobolev Trace Inequality Exponent Restrictions

Published on 12 Apr 2026 - 12:55

152

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Intuition for compact embedding of $H^1([0,1])$ in $L^2([0,1])$?

Published on 29 Apr 2026 - 12:47

421

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The weak limit of a sequence of diffeomorphisms is either a diffeomorphism or a constant?

Published on 05 May 2026 - 2:04

List Question

Why the weighted fractional Sobolev semi-norm si not defined for $p=1$?

Understanding a proof related to mollifiers

Gagliardo-Niremberg inequality on annuli (proof)

Recovering classical solution from weak one for the Laplace equation

Question on definition of $\;\alpha-$Holder norms

Localization of Sobolev functions is continuous

How we obtain this limit on an integral?

Counter example for analogous Poincare inequality does not hold on Fractional Sobolev spaces

$\mathbb{1}_{B_1(0)}$ doesn't have a $\partial_{x_i}$weak derivative in $\mathbb{R}^n$

Do elliptic operators $L=-a^{ij}\partial_{i}\partial_j+b^i\partial_i+c$ map $H^1(\Omega)$ into $H^{-1}(\Omega)$ for $a^{ij},b^i,c\in L^\infty$?

Solving $\operatorname{div}(a(\frac{.}{\epsilon}) \nabla(u_\epsilon)) = -\operatorname{div}(f)$ (partial differential equation)

Regularity of Parabolic PDE's

Sobolev Trace Inequality Exponent Restrictions

Intuition for compact embedding of $H^1([0,1])$ in $L^2([0,1])$?

The weak limit of a sequence of diffeomorphisms is either a diffeomorphism or a constant?

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