List questions from sobolev-spaces

Published on 11 Apr 2026 - 18:18

556

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Unbounded function with integrable weak derivative

Published on 28 Mar 2026 - 13:32

89

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If $A \colon H^s \to H^{s+t}$, is $A^\alpha \colon H^s\to H^{s+\alpha t}$?

Published on 12 Apr 2026 - 3:08

57

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Can we consider a "weak bundle" as a topological vector bundle?

Published on 14 Apr 2026 - 0:34

116

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Does the following minimum exist?

Published on 12 Apr 2026 - 13:09

1.9k

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What exactly is the $H^{-1/2}$ space?

Published on 15 Apr 2026 - 10:41

886

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Sobolev spaces on Riemannian manifold and the Laplacian

Published on 15 Apr 2026 - 6:19

97

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If $f$ is a Sobolev $H^1$-function and vanishes everywhere except for a point, is it constantly zero?

Published on 15 Apr 2026 - 21:55

363

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Higher order Poincaré inequalities on $\mathbb R$

Published on 08 Apr 2026 - 23:08

150

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Counterexample of Sobolev traces

Published on 11 Apr 2026 - 7:02

48

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Does the space $V = \{ v \in {H^1}(0,1),{v_x}(0) = {v_x}(1) = 0,\int\limits_0^1 {v = 0}\} $ make sense?

Published on 15 Apr 2026 - 6:59

96

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Faedo-Galerkin method for the 1-d von-karman system

Published on 13 Apr 2026 - 9:41

126

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About subspace of a Sobolev Space (with $\int_U u =0$ & $\int_{\partial U} \partial u/ \partial n =0$)

Published on 12 Apr 2026 - 7:53

189

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Continuous embedding of $W^{d,1}(\Omega)$ into $C(\overline{\Omega})$

Published on 28 Mar 2026 - 13:42

330

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Weak Derivative of function $\operatorname{sgn}(x_1) + \operatorname{sgn}(x_2)$

Published on 28 Mar 2026 - 13:41

List Question

Showing that Sobolev spaces are Hilbert spaces?

Unbounded function with integrable weak derivative

If $A \colon H^s \to H^{s+t}$, is $A^\alpha \colon H^s\to H^{s+\alpha t}$?

Can we consider a "weak bundle" as a topological vector bundle?

Does the following minimum exist?

What exactly is the $H^{-1/2}$ space?

Sobolev spaces on Riemannian manifold and the Laplacian

If $f$ is a Sobolev $H^1$-function and vanishes everywhere except for a point, is it constantly zero?

Higher order Poincaré inequalities on $\mathbb R$

Counterexample of Sobolev traces

Does the space $V = \{ v \in {H^1}(0,1),{v_x}(0) = {v_x}(1) = 0,\int\limits_0^1 {v = 0}\} $ make sense?

Faedo-Galerkin method for the 1-d von-karman system

About subspace of a Sobolev Space (with $\int_U u =0$ & $\int_{\partial U} \partial u/ \partial n =0$)

Continuous embedding of $W^{d,1}(\Omega)$ into $C(\overline{\Omega})$

Weak Derivative of function $\operatorname{sgn}(x_1) + \operatorname{sgn}(x_2)$

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