List questions from sobolev-spaces

Published on 12 Apr 2026 - 5:13

123

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Trace of a Sobolev-Function near the boundary when shrinking tubes

Published on 11 May 2026 - 2:01

100

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Show $P_n A P_n \longrightarrow A$ in the strong resolvent sense.

Published on 15 Apr 2026 - 10:49

82

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About first eigenvalue of the Laplace operator

Published on 10 Apr 2026 - 12:49

31

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Show, that $ U = \left\{ u \in W_p^2 (\mathbb{R}_+)\ | \ u(0) = 0 \right\}$ is a closed subspace of $W_p^2 (\mathbb{R}_+)$

Published on 15 Apr 2026 - 20:55

184

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Definition of space $\mathcal{D}^{1,2}$

Published on 14 Apr 2026 - 11:30

53

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$\lambda \to \|E_{0}(\lambda)f\|^{2}_{L^{2}}$ is absolutely continuous

Published on 04 May 2026 - 11:05

37

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Domain of 1D distributional laplacian

Published on 16 Apr 2026 - 14:06

160

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Estimate the norm of the solution of an elliptic partial differential equations of second order

Published on 15 Apr 2026 - 12:03

177

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$f \in H^{s}(\mathbb{R}^{n})$, $s > n/2$, then $f$ is uniformly Holder continuous of $\alpha \in (0,1)$ order??

Published on 14 Apr 2026 - 12:05

97

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Sobolev estimates $\|\phi\|_2\leq\|\phi\|_{H^2}$

Published on 16 Apr 2026 - 2:21

115

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Sobolev estimates $\|\nabla\phi\|_{\infty}\leq C\|\phi\|_{H^2}$

Published on 16 Apr 2026 - 8:17

489

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Variational formulation of the Helmholtz equation and doubt about how to deal with coercivity.

Published on 08 Apr 2026 - 19:47

120

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$min(u,const)$ is a function in $W^{1,2}$

Published on 12 Apr 2026 - 20:33

86

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Question regarding the proof of global approximation by smooth functions of Sobolev functions

Published on 13 Apr 2026 - 8:24

List Question

Uniform norm of eigenfunctions of laplacian

Trace of a Sobolev-Function near the boundary when shrinking tubes

Show $P_n A P_n \longrightarrow A$ in the strong resolvent sense.

About first eigenvalue of the Laplace operator

Show, that $ U = \left\{ u \in W_p^2 (\mathbb{R}_+)\ | \ u(0) = 0 \right\}$ is a closed subspace of $W_p^2 (\mathbb{R}_+)$

Definition of space $\mathcal{D}^{1,2}$

$\lambda \to \|E_{0}(\lambda)f\|^{2}_{L^{2}}$ is absolutely continuous

Domain of 1D distributional laplacian

Estimate the norm of the solution of an elliptic partial differential equations of second order

$f \in H^{s}(\mathbb{R}^{n})$, $s > n/2$, then $f$ is uniformly Holder continuous of $\alpha \in (0,1)$ order??

Sobolev estimates $\|\phi\|_2\leq\|\phi\|_{H^2}$

Sobolev estimates $\|\nabla\phi\|_{\infty}\leq C\|\phi\|_{H^2}$

Variational formulation of the Helmholtz equation and doubt about how to deal with coercivity.

$min(u,const)$ is a function in $W^{1,2}$

Question regarding the proof of global approximation by smooth functions of Sobolev functions

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