List questions from sobolev-spaces

Published on 11 Apr 2019 - 21:19

451

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Reference request: Laplace-Beltrami eigenfunction bases for Sobolev spaces

Published on 25 Mar 2026 - 1:33

271

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Eigenfunctions and Spectral Decomposition

Published on 12 Apr 2019 - 12:52

56

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Sobolev's inequality for higher derivatives

Published on 14 Apr 2019 - 8:00

340

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Inequality in Sobolev Space ($L^p$ norm)

Published on 15 Apr 2019 - 1:59

107

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Heuristic on Sobolev and BV functions

Published on 15 Apr 2019 - 16:33

301

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compute $H^{3/2}(\partial\Omega)$-norm for smooth $u$ and $\Omega$

Published on 25 Mar 2026 - 3:19

199

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Convergence of Sequence of Solutions to Elliptic Equation

Published on 25 Mar 2026 - 9:32

64

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How is this operator well defined? $\frac{D}{(1+D^2)^{1/2} }$.

Published on 25 Mar 2026 - 4:39

181

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Is the projection onto the unit circle Sobolev?

Published on 18 Apr 2019 - 16:42

41

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If $v\in H^1(]0,1[)$, then $|v(\lambda)| \leq ||v||_{L^1(]0,1[)} + ||v'||_{L^2(]0,1[)}$

Published on 25 Mar 2026 - 14:23

65

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Sobolev-Gagliardo-Nirenberg: Why is $|f|^q$ continously differentiable?

Published on 19 Apr 2019 - 16:37

47

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A convenient redefiniton of the Sobolev norm

Published on 19 Apr 2019 - 17:15

164

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About an equality of fractional Laplacian on a bounded domain

Published on 25 Mar 2026 - 6:12

37

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Can we always perturb a map to have distinct singular values?

Published on 25 Mar 2026 - 12:48

List Question

Proof of a theorem on Sobolev multipliers on $(0,1)$ without extending to $\mathbb R$

Reference request: Laplace-Beltrami eigenfunction bases for Sobolev spaces

Eigenfunctions and Spectral Decomposition

Sobolev's inequality for higher derivatives

Inequality in Sobolev Space ($L^p$ norm)

Heuristic on Sobolev and BV functions

compute $H^{3/2}(\partial\Omega)$-norm for smooth $u$ and $\Omega$

Convergence of Sequence of Solutions to Elliptic Equation

How is this operator well defined? $\frac{D}{(1+D^2)^{1/2} }$.

Is the projection onto the unit circle Sobolev?

If $v\in H^1(]0,1[)$, then $|v(\lambda)| \leq ||v||_{L^1(]0,1[)} + ||v'||_{L^2(]0,1[)}$

Sobolev-Gagliardo-Nirenberg: Why is $|f|^q$ continously differentiable?

A convenient redefiniton of the Sobolev norm

About an equality of fractional Laplacian on a bounded domain

Can we always perturb a map to have distinct singular values?

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