List questions from sobolev-spaces

Published on 24 Mar 2026 - 22:15

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Interpolation like inequality ,Question from Brezis' book exercise 8.15

Published on 25 Mar 2026 - 1:23

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Poincare (Wirtinger) Inequality vanishing on subset of boundary?

Published on 13 Mar 2018 - 15:49

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Uniqueness of higher order weak derivative

Published on 25 Mar 2026 - 8:07

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Sobolev inequality as a consequence of the Hardy-Littlewood-Sobolev inequality

Published on 14 Mar 2018 - 0:47

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Delta distribution is not induced by and tempered function

Published on 25 Mar 2026 - 4:36

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comparing two Sobolev spaces:$W_0^{s,p}(\Omega)$ and $\overline{ C_c^{\infty}(\Omega)}^{~~W^{s,p}(\Bbb R^d)}$

Published on 23 Mar 2026 - 1:59

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Is the weak Laplacian under (homogeneous) Dirichlet and von Neumann boundary condition self-adjoint?

Published on 25 Mar 2026 - 8:10

449

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$H^2(\mathbb{T})$ dense in $L^2(\mathbb{T})$

Published on 15 Mar 2018 - 1:11

267

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Determine Solution Regularity of $-\Delta u + u =f$

Published on 15 Mar 2018 - 21:28

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Vanishing on the boundary for Sobolev subspace

Published on 16 Mar 2018 - 21:07

222

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Is there a function which belongs to $H(\mathrm{curl},\Omega)$ but does not belong to $(H^1(\Omega))^3$?

Published on 25 Mar 2026 - 18:57

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Rellich-Kondrachov theorem for compact manifolds without boundary.

Published on 20 Mar 2018 - 18:42

638

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Uniqueness of weak solutions of the Hamilton-Jacobi Equation (Evans proof)

Published on 22 Mar 2026 - 21:15

31

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The elements of the set $\;g+W^{1,2}(\mathbb R;\mathbb R^n)\;$ have limits at infinity

Published on 22 Mar 2018 - 13:35

List Question

Sobolev approximation lifts to $L^p$ convergence of the exterior powers

Interpolation like inequality ,Question from Brezis' book exercise 8.15

Poincare (Wirtinger) Inequality vanishing on subset of boundary?

Uniqueness of higher order weak derivative

Sobolev inequality as a consequence of the Hardy-Littlewood-Sobolev inequality

Delta distribution is not induced by and tempered function

comparing two Sobolev spaces:$W_0^{s,p}(\Omega)$ and $\overline{ C_c^{\infty}(\Omega)}^{~~W^{s,p}(\Bbb R^d)}$

Is the weak Laplacian under (homogeneous) Dirichlet and von Neumann boundary condition self-adjoint?

$H^2(\mathbb{T})$ dense in $L^2(\mathbb{T})$

Determine Solution Regularity of $-\Delta u + u =f$

Vanishing on the boundary for Sobolev subspace

Is there a function which belongs to $H(\mathrm{curl},\Omega)$ but does not belong to $(H^1(\Omega))^3$?

Rellich-Kondrachov theorem for compact manifolds without boundary.

Uniqueness of weak solutions of the Hamilton-Jacobi Equation (Evans proof)

The elements of the set $\;g+W^{1,2}(\mathbb R;\mathbb R^n)\;$ have limits at infinity

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