List questions from sobolev-spaces

Published on 07 Dec 2015 - 22:55

198

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necessary and sufficient conditions for the existence of solution in the space $W^{k,p}$

Published on 29 Mar 2026 - 8:42

601

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gradient, positive and negative parts of a function?

Published on 08 Dec 2015 - 3:45

643

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Using Lax-Milgram for linear ODEs

Published on 28 Mar 2026 - 2:59

118

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Confusion about the definition of Sobolev spaces on manifolds

Published on 08 Dec 2015 - 14:14

87

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$u\in W^{1,1}(U) \Rightarrow u^+\in W^{1,1}(U)$ , where $U\subset\mathbb{R}^n$ open

Published on 09 Dec 2015 - 10:04

156

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Showing properties of a space using dense subsets (soft)

Published on 09 Dec 2015 - 14:22

113

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a continuous path between two sobolev functions without increasing energy

Published on 03 Apr 2026 - 20:12

50

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Are there $H^1_0(\Omega)$-functions in the plane that are discontinuous over curves?

Published on 11 Dec 2015 - 13:11

468

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an iff proof on the existence of weak derivative

Published on 27 Mar 2026 - 16:54

112

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If $f,g_j\in\mathcal{C}(U)$ and $\frac{\partial f}{\partial x_j}=g_j$ weakly $\Rightarrow$ $f\in\mathcal{C}^1(U)$

Published on 04 Apr 2026 - 2:33

125

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Equivalence of norms on $W^{1, p}(I)$

Published on 09 Apr 2026 - 15:44

855

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$W^{s,p}(\mathbb{R}^{n})$ Is Not Closed Under Multiplication when $s\leq n/p$

Published on 12 Dec 2015 - 23:07

38

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If function $u$, is $ C^1$ function on two almost disjoint compact sets, then is $u \in W^{1,\infty}$ of union of two sets?

Published on 13 Dec 2015 - 1:24

779

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A density argument in the proof of Hardy's inequality for $H^1(\mathbb R^3)$

Published on 13 Dec 2015 - 18:40

List Question

positive and negative parts of a function?

necessary and sufficient conditions for the existence of solution in the space $W^{k,p}$

gradient, positive and negative parts of a function?

Using Lax-Milgram for linear ODEs

Confusion about the definition of Sobolev spaces on manifolds

$u\in W^{1,1}(U) \Rightarrow u^+\in W^{1,1}(U)$ , where $U\subset\mathbb{R}^n$ open

Showing properties of a space using dense subsets (soft)

a continuous path between two sobolev functions without increasing energy

Are there $H^1_0(\Omega)$-functions in the plane that are discontinuous over curves?

an iff proof on the existence of weak derivative

If $f,g_j\in\mathcal{C}(U)$ and $\frac{\partial f}{\partial x_j}=g_j$ weakly $\Rightarrow$ $f\in\mathcal{C}^1(U)$

Equivalence of norms on $W^{1, p}(I)$

$W^{s,p}(\mathbb{R}^{n})$ Is Not Closed Under Multiplication when $s\leq n/p$

If function $u$, is $ C^1$ function on two almost disjoint compact sets, then is $u \in W^{1,\infty}$ of union of two sets?

A density argument in the proof of Hardy's inequality for $H^1(\mathbb R^3)$

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