List questions from sobolev-spaces

Published on 13 Apr 2026 - 20:04

304

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Interior estimates for $H^1$-norm of solutions of divergence-type elliptic PDE

Published on 28 Mar 2026 - 1:07

174

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Existence of weak solution of an elliptic equation with unbounded but positive coefficient of $u$

Published on 28 Mar 2026 - 1:07

62

Views

Global estimate for weak solution of semilinear equation on unbounded area

Published on 14 Apr 2026 - 1:44

380

Views

Sanity check: self-adjoint operator on Sobolev space

Published on 11 Apr 2026 - 10:50

258

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Isoperimetric problem using the Gagliardo-Nirenberg-Sobolev

Published on 11 Apr 2026 - 2:55

1.5k

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$C_c^\infty(\mathbf{R})$ is dense in $W^{1,p}(\mathbf{R})$

Published on 16 Apr 2026 - 12:14

86

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Does imposing a boundary condition undermine a Sobolev embedding result?

Published on 10 Apr 2026 - 17:39

105

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Convergence in localized Sobolev spaces $H^m_{loc}$

Published on 12 Apr 2026 - 9:32

142

Views

Estimating the $H^{-1}$ norm of a special cut-off function

Published on 11 Apr 2026 - 17:03

625

Views

Fractional Sobolev spaces are Banach spaces

Published on 11 Apr 2026 - 6:39

562

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Comparaison of two version of Fractional sobolev spaces: what do we have $W^{s,p}(\mathbb{R}^{n})=H^{s,p}(\mathbb{R}^{n})$?

Published on 26 Mar 2026 - 3:13

52

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Matrix valued Hilbert spaces

Published on 13 Apr 2026 - 8:37

61

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Weak convergence of a nonlinear sequence.

Published on 12 Apr 2026 - 17:51

35

Views

Does $f$ belong to $W^{1,p}(\mathbf{R})$?

Published on 15 Apr 2026 - 14:27

List Question

The $L^2$ norm of a function bounded by $L^2$ norm of its weak derivative in unit ball

Interior estimates for $H^1$-norm of solutions of divergence-type elliptic PDE

Existence of weak solution of an elliptic equation with unbounded but positive coefficient of $u$

Global estimate for weak solution of semilinear equation on unbounded area

Sanity check: self-adjoint operator on Sobolev space

Isoperimetric problem using the Gagliardo-Nirenberg-Sobolev

$C_c^\infty(\mathbf{R})$ is dense in $W^{1,p}(\mathbf{R})$

Does imposing a boundary condition undermine a Sobolev embedding result?

Convergence in localized Sobolev spaces $H^m_{loc}$

Estimating the $H^{-1}$ norm of a special cut-off function

Fractional Sobolev spaces are Banach spaces

Comparaison of two version of Fractional sobolev spaces: what do we have $W^{s,p}(\mathbb{R}^{n})=H^{s,p}(\mathbb{R}^{n})$?

Matrix valued Hilbert spaces

Weak convergence of a nonlinear sequence.

Does $f$ belong to $W^{1,p}(\mathbf{R})$?

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