List questions from sobolev-spaces

Published on 13 Apr 2026 - 16:37

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simple exercise - Sobolev Spaces

Published on 13 Apr 2026 - 21:06

440

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Paradoxical argument when applying Lax-Milgram theorem to a piecewisely defined elliptic problem

Published on 11 Apr 2026 - 4:58

213

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Solving a Sturm-Liouville differential equation variationally

Published on 14 Apr 2026 - 12:48

87

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showing $W^{s,p}(\mathbb{R}^n) \subseteq W^{r,p}(\mathbb{R}^n)$ for $r < s$

Published on 16 Apr 2026 - 9:41

42

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Finding an optimal $p$ such that $u \in L^p$

Published on 12 Apr 2026 - 18:58

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about weak derivative ( Sobolev Spaces )

Published on 10 Apr 2026 - 23:08

647

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Decomposition of functionals on sobolev spaces

Published on 12 Apr 2026 - 14:55

1.2k

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$L^2(U)$ compact embedded in $H^{-1}(U)$?

Published on 12 Apr 2026 - 14:34

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Sobolev inequality in $W_0^{1,p}$

Published on 15 Apr 2026 - 14:55

189

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theorem in capacity theory

Published on 09 Apr 2026 - 15:32

638

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Trace regularity result $\lVert n \times u\rVert_{H^{-1/2}}$

Published on 15 Apr 2026 - 11:47

153

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A question on a bounded sequence in $H^1(\mathbb{R}^n)$.

Published on 17 Apr 2026 - 11:40

87

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$H^1$-conforming approximation for elliptic PDE with discontinuous coefficient?

Published on 14 Apr 2026 - 12:31

198

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Minimum Solution Over Closed Ball of $H_0^1(\Omega)$

Published on 12 Apr 2026 - 8:10

List Question

Some ideas about $H=W$

simple exercise - Sobolev Spaces

Paradoxical argument when applying Lax-Milgram theorem to a piecewisely defined elliptic problem

Solving a Sturm-Liouville differential equation variationally

showing $W^{s,p}(\mathbb{R}^n) \subseteq W^{r,p}(\mathbb{R}^n)$ for $r < s$

Finding an optimal $p$ such that $u \in L^p$

about weak derivative ( Sobolev Spaces )

Decomposition of functionals on sobolev spaces

$L^2(U)$ compact embedded in $H^{-1}(U)$?

Sobolev inequality in $W_0^{1,p}$

theorem in capacity theory

Trace regularity result $\lVert n \times u\rVert_{H^{-1/2}}$

A question on a bounded sequence in $H^1(\mathbb{R}^n)$.

$H^1$-conforming approximation for elliptic PDE with discontinuous coefficient?

Minimum Solution Over Closed Ball of $H_0^1(\Omega)$

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