List questions from sobolev-spaces

Published on 29 Mar 2026 - 3:04

77

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functional analysis

Published on 09 Apr 2026 - 6:57

300

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When is it true that the Sobolev trace of a positive a.e. function is positive a.e?

Published on 12 Apr 2026 - 8:45

1.3k

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Distributional derivative of $L^2$ function

Published on 01 Feb 2016 - 22:40

348

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Showing that $(G' \circ u)u' \in L^p(I)$ where $G \in C^1(\mathbb{R})$ and $u \in W^{1,p}(I)$

Published on 27 Mar 2026 - 15:18

104

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Help proving a map between Sobolev spaces is continuous

Published on 10 Apr 2026 - 3:37

1.3k

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Sobolev space interpolation

Published on 10 Apr 2026 - 16:06

53

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Proving that $W^{1,2,0}(U)$ is dense in $H^1(U)$ for an open set $U\in\mathbb{R}$

Published on 04 Feb 2016 - 4:51

399

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Weak derivative of a piecewise defined function

Published on 05 Feb 2016 - 21:36

119

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Calculus of variations - existence of minimum of a functional-elliptic problem

Published on 27 Mar 2026 - 7:49

157

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about lower semicontinuity of a functional - PDE

Published on 27 Mar 2026 - 7:48

330

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Proof $\mathcal{C}^1(-1,1)$ is not a closed subspace of Sobolev space $H_0^1 \left[-1,1\right]$

Published on 08 Feb 2016 - 22:11

252

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An equivalent theorem for Sobolev spaces in infinite dimensions

Published on 11 Apr 2026 - 23:08

219

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Galerkin method in Sobolev space

Published on 27 Mar 2026 - 9:37

93

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Is this element of $H^1(\Omega)^*$ actually in $L^2(\Omega)$?

Published on 27 Mar 2026 - 7:49

List Question

Fundamental solution of the Poisson equation with variable exponent

functional analysis

When is it true that the Sobolev trace of a positive a.e. function is positive a.e?

Distributional derivative of $L^2$ function

Showing that $(G' \circ u)u' \in L^p(I)$ where $G \in C^1(\mathbb{R})$ and $u \in W^{1,p}(I)$

Help proving a map between Sobolev spaces is continuous

Sobolev space interpolation

Proving that $W^{1,2,0}(U)$ is dense in $H^1(U)$ for an open set $U\in\mathbb{R}$

Weak derivative of a piecewise defined function

Calculus of variations - existence of minimum of a functional-elliptic problem

about lower semicontinuity of a functional - PDE

Proof $\mathcal{C}^1(-1,1)$ is not a closed subspace of Sobolev space $H_0^1 \left[-1,1\right]$

An equivalent theorem for Sobolev spaces in infinite dimensions

Galerkin method in Sobolev space

Is this element of $H^1(\Omega)^*$ actually in $L^2(\Omega)$?

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