List questions from sobolev-spaces

Published on 09 Apr 2026 - 0:09

150

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Fractional Sobolev space with zero boundary values

Published on 12 Apr 2026 - 10:53

200

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Technical difficulties with degenerate PDEs

Published on 14 Apr 2026 - 11:51

200

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Boundedness + convergence in $L^2_{\text{loc}}$ implies weak convergence?

Published on 15 Apr 2026 - 18:57

68

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Embedding of $W^{1,2}(\mathbb{R^2})$ in $L^p(\mathbb{R^2})$ for all $2\leq p<\infty$

Published on 15 Apr 2026 - 3:44

76

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Existence of weak derivative of $\|x\|^s$

Published on 15 Apr 2026 - 0:24

112

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Wave equations with Dirichlet boundary condition

Published on 08 Apr 2026 - 20:19

43

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If $\int_\Omega (u_n/\delta)^2=1$ then $(u_n)_{n=1}^{\infty}$ is bounded in $H_{0}^{1}(\Omega)$

Published on 15 Apr 2026 - 15:45

71

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How to derive weak solution formulation when $f\in H^{-1}$?

Published on 12 Apr 2026 - 23:02

56

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Existence of a weak solution of a fourth order differential equation

Published on 12 Apr 2026 - 19:17

64

Views

How to improve regularity of weak solution with Fourier transform?

Published on 10 Apr 2026 - 22:33

49

Views

An integration by parts formula in $H^1_0(D)$ where $D$ is any open subset of $\mathbb{R}^n$

Published on 14 Apr 2026 - 5:15

66

Views

Cut-off function with specific properties

Published on 16 Apr 2026 - 17:10

55

Views

Is the weak convergence of the gradients sufficient for this inequality?

Published on 18 Apr 2026 - 11:36

70

Views

Compact Embedding Theorem. Metric Space. Santambrogio. (reference request).

Published on 15 Apr 2026 - 0:45

List Question

Density of test functions in the dual of H1(Omega)

Fractional Sobolev space with zero boundary values

Technical difficulties with degenerate PDEs

Boundedness + convergence in $L^2_{\text{loc}}$ implies weak convergence?

Embedding of $W^{1,2}(\mathbb{R^2})$ in $L^p(\mathbb{R^2})$ for all $2\leq p<\infty$

Existence of weak derivative of $\|x\|^s$

Wave equations with Dirichlet boundary condition

If $\int_\Omega (u_n/\delta)^2=1$ then $(u_n)_{n=1}^{\infty}$ is bounded in $H_{0}^{1}(\Omega)$

How to derive weak solution formulation when $f\in H^{-1}$?

Existence of a weak solution of a fourth order differential equation

How to improve regularity of weak solution with Fourier transform?

An integration by parts formula in $H^1_0(D)$ where $D$ is any open subset of $\mathbb{R}^n$

Cut-off function with specific properties

Is the weak convergence of the gradients sufficient for this inequality?

Compact Embedding Theorem. Metric Space. Santambrogio. (reference request).

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