List questions from sobolev-spaces

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

44

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Inequality for a weighted Bilinear form in Fourier variables

Published on 08 May 2023 - 15:26

20

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Loss of regularity for left invariant vector field

Published on 25 Mar 2026 - 11:19

76

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

Published on 25 Mar 2026 - 11:20

75

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Higher order derivatives for manifold valued Sobolev functions

Published on 09 May 2023 - 8:39

53

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

Published on 25 Mar 2026 - 11:20

45

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Question about calculation in Schwartz space.

Published on 26 Mar 2026 - 13:41

195

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How to generalize the Gaussian Poincare inequality for vector-valued random variable cases?

Published on 11 May 2023 - 14:16

56

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Given $f\in \dot{W}^{1,\infty}(\Omega)$ and $\varphi\in C_c^\infty(\Omega)$, whether we can get $f\varphi\in \dot{W}^{1,\infty}(\Omega)$ or not.

Published on 11 May 2023 - 14:46

121

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How to prove the homogeneous Sobolev spaces $\dot{W}^{1,p}$ on cubes are equivalent to the Sobolev spaces

Published on 13 May 2023 - 8:17

108

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Sobolev Bound for solution to Dirichlet Problem from knowledge of boundary estimates

Published on 25 Mar 2026 - 17:52

127

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Sobolev Embedding Theorem, when $n = p$

Published on 16 May 2023 - 15:51

92

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Weak convergence in Bochner space and corresponding $L^p$ space

Published on 17 May 2023 - 14:50

79

Views

Question concerning Lawrence C. Evans Partial Differential Equations chapter 6.2.2

Published on 18 May 2023 - 1:26

List Question

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 $p \to \infty$

Inequality for a weighted Bilinear form in Fourier variables

Loss of regularity for left invariant vector field

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

Higher order derivatives for manifold valued Sobolev functions

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

Question about calculation in Schwartz space.

How to generalize the Gaussian Poincare inequality for vector-valued random variable cases?

Given $f\in \dot{W}^{1,\infty}(\Omega)$ and $\varphi\in C_c^\infty(\Omega)$, whether we can get $f\varphi\in \dot{W}^{1,\infty}(\Omega)$ or not.

How to prove the homogeneous Sobolev spaces $\dot{W}^{1,p}$ on cubes are equivalent to the Sobolev spaces

Sobolev Bound for solution to Dirichlet Problem from knowledge of boundary estimates

Sobolev Embedding Theorem, when $n = p$

Weak convergence in Bochner space and corresponding $L^p$ space

Question concerning Lawrence C. Evans Partial Differential Equations chapter 6.2.2

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