List questions from sobolev-spaces

Published on 11 Apr 2026 - 23:38

19

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About basis of functions on manifold which is locally convex topological space

Published on 12 Apr 2026 - 1:44

109

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Reference request for Isoperimetric Inequality using Sobolev inequality

Published on 15 Apr 2026 - 3:01

78

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Interpolations of $ H^{-1}(\Omega) $ and $ H_0^1(\Omega) $.

Published on 16 Apr 2026 - 14:35

128

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Compactness of the trace operator of the Sobolev space

Published on 11 Apr 2026 - 12:12

86

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A simple estimate (Theorem 8.6) Haim Brezis' book $\|Pu\|_{L^p(\mathbb{R})}\leq 2 \|u\|_{L^p(I)}$

Published on 16 Apr 2026 - 5:26

61

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How to understand the notion of a weak fractional derivative in a fractional Sobolev space

Published on 08 Apr 2026 - 22:21

34

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solution of $\Delta f = 0 $ in $L^2(\mathbb{R}^n)$

Published on 15 Apr 2026 - 7:36

65

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Are the Sobolev space $H^1$ and $H^1_0$ isomorphic?

Published on 15 Apr 2026 - 10:53

599

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Estimate involving $L^{\infty}$ norm of function in $H^2(\mathbb{R}) \cap H^{-1/2}(\mathbb{R})$

Published on 13 Apr 2026 - 21:18

40

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Proving that $D^{1,2}(\mathbb{R}^N)$ has a norm

Published on 16 Apr 2026 - 15:16

30

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sufficient condition for function to be in sobolev space W1,p

Published on 12 Apr 2026 - 9:31

37

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Eigenfunctions of Laplacian and variational inequalities.

Published on 12 Apr 2026 - 8:34

42

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Functions on sobolev space $ W^{1,p}$

Published on 14 Apr 2026 - 18:14

76

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Using interpolation in Sobolev Space

Published on 12 Apr 2026 - 11:39

List Question

Morrey's inequality. Case $p=\infty$

About basis of functions on manifold which is locally convex topological space

Reference request for Isoperimetric Inequality using Sobolev inequality

Interpolations of $ H^{-1}(\Omega) $ and $ H_0^1(\Omega) $.

Compactness of the trace operator of the Sobolev space

A simple estimate (Theorem 8.6) Haim Brezis' book $\|Pu\|_{L^p(\mathbb{R})}\leq 2 \|u\|_{L^p(I)}$

How to understand the notion of a weak fractional derivative in a fractional Sobolev space

solution of $\Delta f = 0 $ in $L^2(\mathbb{R}^n)$

Are the Sobolev space $H^1$ and $H^1_0$ isomorphic?

Estimate involving $L^{\infty}$ norm of function in $H^2(\mathbb{R}) \cap H^{-1/2}(\mathbb{R})$

Proving that $D^{1,2}(\mathbb{R}^N)$ has a norm

sufficient condition for function to be in sobolev space W1,p

Eigenfunctions of Laplacian and variational inequalities.

Functions on sobolev space $ W^{1,p}$

Using interpolation in Sobolev Space

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