List questions from sobolev-spaces

Published on 17 Apr 2026 - 15:39

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Basic Query On Sobolev Space

Published on 13 Apr 2026 - 14:41

559

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Proving regularity of a function

Published on 13 Apr 2026 - 23:26

96

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$f, f|f| \in L^{1} (\mathbb R) \cap C_{0} (\mathbb R) \implies |f| \in H_{1} (\mathbb R)$?

Published on 15 Apr 2026 - 8:12

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If $u$ solves Dirichlet problem $-\Delta u =f$, what is known about $fu$?

Published on 14 Apr 2026 - 2:18

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simple question about the level set of a function of $H^{1}$

Published on 12 Apr 2026 - 1:12

109

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Situation of Nirenberg-Sobolev embedding

Published on 12 Apr 2026 - 3:38

177

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Intuituve affirmation of functions of $H^1_0(\Omega)$

Published on 10 Apr 2026 - 23:08

389

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Is $(H_0^1,\|\cdot\|_{L^2})$ a closed subspace of $L^2$?

Published on 16 Apr 2026 - 17:55

888

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Proof or counterexample: $L^p$-boundedness gives a.e. convergent subsequence?

Published on 29 Mar 2026 - 3:27

326

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Sobolev spaces on non open sets

Published on 15 Apr 2026 - 3:06

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weak convergence of product of weakly and strongly convergent $L^{2}$ sequences in $L^{2}$

Published on 16 Apr 2026 - 12:21

602

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Closure of Schwartz space in homogeneous Besov space

Published on 13 Apr 2026 - 23:29

127

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some sobolev norm estimation

Published on 10 Apr 2026 - 15:30

194

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Smooth function becomes analytic

Published on 12 Apr 2026 - 6:15

List Question

Implications of Weak convergence in Sobolev Spaces

Basic Query On Sobolev Space

Proving regularity of a function

$f, f|f| \in L^{1} (\mathbb R) \cap C_{0} (\mathbb R) \implies |f| \in H_{1} (\mathbb R)$?

If $u$ solves Dirichlet problem $-\Delta u =f$, what is known about $fu$?

simple question about the level set of a function of $H^{1}$

Situation of Nirenberg-Sobolev embedding

Intuituve affirmation of functions of $H^1_0(\Omega)$

Is $(H_0^1,\|\cdot\|_{L^2})$ a closed subspace of $L^2$?

Proof or counterexample: $L^p$-boundedness gives a.e. convergent subsequence?

Sobolev spaces on non open sets

weak convergence of product of weakly and strongly convergent $L^{2}$ sequences in $L^{2}$

Closure of Schwartz space in homogeneous Besov space

some sobolev norm estimation

Smooth function becomes analytic

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