List questions from sobolev-spaces

Published on 15 Mar 2023 - 8:45

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understanding Sobolev space in manifold

Published on 15 Mar 2023 - 18:44

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Functions that can be approximated by derivatives of test functions

Published on 20 Mar 2023 - 15:34

156

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Norm of Dirac delta derivative in negative order Sobolev space

Published on 01 Apr 2026 - 14:52

102

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Reference for extension operators on Sobolev spaces

Published on 25 Mar 2026 - 6:18

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A product of a $H^1_0(\Omega)$ function with a function defined on $S^{N-1}$ is also in $H^1_0(\Omega)$.

Published on 25 Mar 2026 - 8:12

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Positive part of Sobolev space

Published on 22 Mar 2023 - 3:10

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Condition on Sobolev function on the boundary of a domain

Published on 25 Mar 2026 - 23:09

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Estimating the norm of a functional in $W^{-1,2}$

Published on 25 Mar 2023 - 10:55

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Counterexample of Sobolev Embedding Theorem $W^{1,n}(\mathbb{R}^n) \nsubseteq L^\infty (\mathbb{R}^n)$

Published on 25 Mar 2023 - 17:21

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Compactness of Differential Operator between Sobolev and $L^p$-spaces

Published on 23 Feb 2026 - 10:47

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Prove the absolute value is a sobolev function

Published on 29 Mar 2023 - 11:06

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Equivalence of norms with one boundary condition

Published on 23 Feb 2026 - 8:26

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$\lVert u\rVert_{L^{4}(\Omega)}^{4}\leq4\lVert u\rVert_{L^{2}(\Omega)}^{2}\lVert\nabla u\rVert_{L^{2}(\Omega)}^{2}$.

Published on 29 Mar 2023 - 15:18

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Show equivalence of 2 specific norms in sobolev space

Published on 29 Mar 2023 - 15:27

List Question

Completion of space of piecewise-smooth curves under $H^2$ norm

understanding Sobolev space in manifold

Functions that can be approximated by derivatives of test functions

Norm of Dirac delta derivative in negative order Sobolev space

Reference for extension operators on Sobolev spaces

A product of a $H^1_0(\Omega)$ function with a function defined on $S^{N-1}$ is also in $H^1_0(\Omega)$.

Positive part of Sobolev space

Condition on Sobolev function on the boundary of a domain

Estimating the norm of a functional in $W^{-1,2}$

Counterexample of Sobolev Embedding Theorem $W^{1,n}(\mathbb{R}^n) \nsubseteq L^\infty (\mathbb{R}^n)$

Compactness of Differential Operator between Sobolev and $L^p$-spaces

Prove the absolute value is a sobolev function

Equivalence of norms with one boundary condition

$\lVert u\rVert_{L^{4}(\Omega)}^{4}\leq4\lVert u\rVert_{L^{2}(\Omega)}^{2}\lVert\nabla u\rVert_{L^{2}(\Omega)}^{2}$.

Show equivalence of 2 specific norms in sobolev space

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