List questions from sobolev-spaces

Published on 09 Apr 2026 - 8:55

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Properties of the first eigenvalue of the $p$-Laplace operator

Published on 11 Apr 2026 - 2:31

120

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Convergence of integral means of the gradient of a Sobolev function

Published on 16 Apr 2026 - 5:54

99

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Question about a Sobolev norm

Published on 12 Apr 2026 - 11:51

279

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For which real values of $\alpha$ PDE $\Delta u(x,y)+2u(x,y)=x-\alpha$ has at least one weak solution?

Published on 16 Apr 2026 - 9:15

41

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If $f \in C_c^\infty((0,T);H^1(\Gamma))$ is $|f(x,t)| \leq C$ for all $x$ and $t$?

Published on 16 Apr 2026 - 4:25

491

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Two definitions of $H^1(\partial\Omega)$, one using charts and one use tangential gradients

Published on 13 Apr 2026 - 6:19

204

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Reference needed for integration on boundary of Lipschitz domain

Published on 13 Apr 2026 - 3:32

753

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Sobolev trace operator bounded from below??

Published on 11 Apr 2026 - 7:34

109

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Show the example belong to the Bessel potentials space (fractional order sobolev space), where $p=2$

Published on 16 Apr 2026 - 15:39

1.1k

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$C^1$ domains vs. Lipschitz domains in PDEs, do we need transformation of coordinates?

Published on 17 Apr 2026 - 8:52

147

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Don't understand this proof of nonhomogenous Poisson problem (Sobolev space trace and inequality)

Published on 11 Apr 2026 - 15:21

98

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How to prove that the mapping $f\longmapsto f'$ from $H^1(\mathbb{R})$ to $L^2(\mathbb{R})$ is closed?

Published on 15 Apr 2026 - 22:14

248

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Relation between $L^1(\partial\Omega)$ and the surface integral on $C^1$ domains

Published on 16 Apr 2026 - 10:12

819

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weak differentiability of log log function

Published on 14 Apr 2026 - 23:50

List Question

property of local Sobolev space

Properties of the first eigenvalue of the $p$-Laplace operator

Convergence of integral means of the gradient of a Sobolev function

Question about a Sobolev norm

For which real values of $\alpha$ PDE $\Delta u(x,y)+2u(x,y)=x-\alpha$ has at least one weak solution?

If $f \in C_c^\infty((0,T);H^1(\Gamma))$ is $|f(x,t)| \leq C$ for all $x$ and $t$?

Two definitions of $H^1(\partial\Omega)$, one using charts and one use tangential gradients

Reference needed for integration on boundary of Lipschitz domain

Sobolev trace operator bounded from below??

Show the example belong to the Bessel potentials space (fractional order sobolev space), where $p=2$

$C^1$ domains vs. Lipschitz domains in PDEs, do we need transformation of coordinates?

Don't understand this proof of nonhomogenous Poisson problem (Sobolev space trace and inequality)

How to prove that the mapping $f\longmapsto f'$ from $H^1(\mathbb{R})$ to $L^2(\mathbb{R})$ is closed?

Relation between $L^1(\partial\Omega)$ and the surface integral on $C^1$ domains

weak differentiability of log log function

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