List questions from sobolev-spaces

Published on 17 Apr 2026 - 3:14

407

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Variation on the Sobolev space $H^1_0$

Published on 14 Apr 2026 - 2:33

1.7k

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Functions on Besov spaces and Hölder conditions

Published on 11 Apr 2026 - 13:36

294

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If $u$ and $v$ have weak derivatives,what about $uv$?

Published on 11 Apr 2026 - 12:40

2.1k

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The constant in the Sobolev trace theorem inequality

Published on 11 Apr 2026 - 21:08

176

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A question about a trace operator (is this right?)

Published on 11 Apr 2026 - 15:27

52

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Could the functions in larger space than $L^2$ be approximated by finite element basis functions?

Published on 16 Apr 2026 - 0:53

720

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$C_0^\infty(0,T)\cdot V$ dense in the Bochner space $L^2(0,T;V)$

Published on 26 Mar 2026 - 14:20

240

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Relation between $p$-superharmonic functions and concave functions

Published on 12 Apr 2026 - 23:58

36

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Does for $u\in L^1(\Omega)$ and every $t$ also hold $\nabla u \cdot 1_{\{u=t\}}=0$ a.e.?

Published on 14 Apr 2026 - 20:41

576

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Moduli of smoothness, Besov spaces, and Sobolev spaces

Published on 12 Apr 2026 - 16:24

862

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Find a function in $H^{\frac{1}{2}}$ that is not in $L^{\infty}$.

Published on 13 Apr 2026 - 4:09

1.5k

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Approximation in Sobolev Spaces

Published on 13 Apr 2026 - 5:01

226

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Natural growth conditions and weak solutions for inhomogenous systems.

Published on 11 Apr 2026 - 14:07

596

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A differentiable function not in $H^1$

Published on 12 Apr 2026 - 8:29

List Question

Why is this space dense in this Sobolev space? (Bochner spaces)

Variation on the Sobolev space $H^1_0$

Functions on Besov spaces and Hölder conditions

If $u$ and $v$ have weak derivatives,what about $uv$?

The constant in the Sobolev trace theorem inequality

A question about a trace operator (is this right?)

Could the functions in larger space than $L^2$ be approximated by finite element basis functions?

$C_0^\infty(0,T)\cdot V$ dense in the Bochner space $L^2(0,T;V)$

Relation between $p$-superharmonic functions and concave functions

Does for $u\in L^1(\Omega)$ and every $t$ also hold $\nabla u \cdot 1_{\{u=t\}}=0$ a.e.?

Moduli of smoothness, Besov spaces, and Sobolev spaces

Find a function in $H^{\frac{1}{2}}$ that is not in $L^{\infty}$.

Approximation in Sobolev Spaces

Natural growth conditions and weak solutions for inhomogenous systems.

A differentiable function not in $H^1$

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