List questions from weak-derivatives

Published on 14 Nov 2020 - 19:55

197

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Approximation of $H^1_0$-function from below

Published on 26 Nov 2020 - 10:43

99

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curl identity on $\mathcal{D}'\left(\mathbb{R}^2\right)$ for $v\in H^1\left(\mathbb{R}^2\right)^2$

Published on 30 Nov 2020 - 18:54

146

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Zero weak gradient implies almost everywhere constant

Published on 01 Dec 2020 - 13:36

397

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Bounded Variation and Sobolev Norms.

Published on 10 Dec 2020 - 14:07

215

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Bounded Variation Chain Rules

Published on 17 Dec 2020 - 18:26

417

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Bounded Variation and Weak Derivatives.

Published on 25 Mar 2026 - 14:39

354

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Weak formulation of $\Delta^{2}u=f$ with boundary conditions $u=\Delta u =0$.

Published on 23 Dec 2020 - 21:20

68

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A question on the distributional derivative of $y^{-1/3}$

Published on 09 Jan 2021 - 8:51

574

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Show that the Heaviside function is not weakly differentiable

Published on 15 Jan 2021 - 17:06

162

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Characterization of $H^{1/2}(\partial \Omega)$ norm?

Published on 24 Feb 2026 - 0:52

171

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higher weak derivatives of the hat function

Published on 24 Feb 2021 - 19:36

92

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Non trivial Eigenvectors of the Laplacian in $H^1$

Published on 04 Mar 2021 - 13:32

22

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Inequality $\|\nabla u^\varepsilon\|_\infty \le \|\nabla u\|_\infty$ for $u \in W^{1, \infty}(\mathbb R^n)$.

Published on 16 Mar 2021 - 10:42

85

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Show $-u''(x) = H(x)$ and $u'(-1) = u'(1) = 0$ has infinitely many weak solutions

Published on 18 Mar 2021 - 16:23

List Question

A question about a pointwise convergent sequence $(u_n) \subset W_0^{1,p}(I)$.

Approximation of $H^1_0$-function from below

curl identity on $\mathcal{D}'\left(\mathbb{R}^2\right)$ for $v\in H^1\left(\mathbb{R}^2\right)^2$

Zero weak gradient implies almost everywhere constant

Bounded Variation and Sobolev Norms.

Bounded Variation Chain Rules

Bounded Variation and Weak Derivatives.

Weak formulation of $\Delta^{2}u=f$ with boundary conditions $u=\Delta u =0$.

A question on the distributional derivative of $y^{-1/3}$

Show that the Heaviside function is not weakly differentiable

Characterization of $H^{1/2}(\partial \Omega)$ norm?

higher weak derivatives of the hat function

Non trivial Eigenvectors of the Laplacian in $H^1$

Inequality $\|\nabla u^\varepsilon\|_\infty \le \|\nabla u\|_\infty$ for $u \in W^{1, \infty}(\mathbb R^n)$.

Show $-u''(x) = H(x)$ and $u'(-1) = u'(1) = 0$ has infinitely many weak solutions

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