List questions from fractional-sobolev-spaces

Published on 25 Mar 2026 - 11:24

84

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Minimizing Sobolev embedding constant by a concentration sequence

Published on 25 Mar 2026 - 11:17

49

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Prove that the operator $(-\Delta)^s$ is closed.

Published on 25 Mar 2026 - 11:18

28

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Convergence almost everywhere of the fractional Laplacian operator.

Published on 25 Mar 2026 - 11:24

73

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Domain where the fractional Laplacian operator is a closed operator

Published on 25 Mar 2026 - 11:20

42

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Composition of a compacted supported function with a Holder continuous function is a $H^1_0$ function.

Published on 25 Mar 2026 - 11:17

73

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Fractional Sobolev norm of the modulus of a function

Published on 25 Mar 2026 - 11:19

97

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Why are homogenous Sobolev spaces defined over distributions?

Published on 25 Mar 2026 - 11:18

151

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Sobolev embedding for $H^s$, $s > d/2 + 1$

Published on 25 Mar 2026 - 11:22

109

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Embedding of $H^s$ into $L^p$ for $p$ sufficiently big

Published on 25 Mar 2026 - 11:24

45

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Expression of the $L^\infty$ norm in terms of the $L^p$ norm for $p \to \infty$

Published on 25 Mar 2026 - 11:21

20

Views

Loss of regularity for left invariant vector field

Published on 25 Mar 2026 - 11:19

76

Views

Bound an integral by the $L^2$ and $L^\infty$ norms

Published on 25 Mar 2026 - 11:20

53

Views

$H^{1}_0(\Omega)$ norm is invariant under orthogonal maps?

Published on 25 Mar 2026 - 11:20

51

Views

If $(u_n)\to 0$, find if the quotient of Gagliardo seminorms $\frac{[u_n]^2_{s_1}}{[u_n]^2_{s_2}}$ is $o(1)$

Published on 25 Mar 2026 - 11:21

List Question

Limitation of the fractional laplacian operator

Minimizing Sobolev embedding constant by a concentration sequence

Prove that the operator $(-\Delta)^s$ is closed.

Convergence almost everywhere of the fractional Laplacian operator.

Domain where the fractional Laplacian operator is a closed operator

Composition of a compacted supported function with a Holder continuous function is a $H^1_0$ function.

Fractional Sobolev norm of the modulus of a function

Why are homogenous Sobolev spaces defined over distributions?

Sobolev embedding for $H^s$, $s > d/2 + 1$

Embedding of $H^s$ into $L^p$ for $p$ sufficiently big

Expression of the $L^\infty$ norm in terms of the $L^p$ norm for $p \to \infty$

Loss of regularity for left invariant vector field

Bound an integral by the $L^2$ and $L^\infty$ norms

$H^{1}_0(\Omega)$ norm is invariant under orthogonal maps?

If $(u_n)\to 0$, find if the quotient of Gagliardo seminorms $\frac{[u_n]^2_{s_1}}{[u_n]^2_{s_2}}$ is $o(1)$

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