List questions from sobolev-spaces

Published on 29 Mar 2026 - 2:34

68

Views

How to show $ \sup\limits_{k}||u_k||_{W^{1.q}(U)}<\infty $?

Published on 14 Dec 2015 - 3:07

221

Views

Intuition behind the definition of the space $H_{0}^{1}(I) (=W_{0}^{1,2})$

Published on 01 Apr 2026 - 23:33

268

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Rellich-Kondrachov compacteness theorem for the Euclidean space with Gaussian measure

Published on 15 Dec 2015 - 9:17

1.3k

Views

The Sobolev Space $W^{1,p}(I)$ is complete

Published on 17 Dec 2015 - 15:10

1.4k

Views

The finite product of $L^p$ spaces is reflexive ($1<p<\infty$)

Published on 17 Dec 2015 - 17:03

37

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antiderivative of $\psi'(u)$ for $u\in W^{1,2}_0((a,b))$

Published on 17 Dec 2015 - 19:35

30

Views

weak formulation of $u''=\psi'(u)+f$ with $ u\in W^{1,2}_0((a,b))$.

Published on 17 Dec 2015 - 22:24

285

Views

Sobolev space and integration by parts on non-orientable manifolds

Published on 18 Dec 2015 - 10:34

128

Views

Cut off function in N-dimension

Published on 18 Dec 2015 - 11:21

2.3k

Views

Sobolev embedding into $L^\infty$

Published on 18 Dec 2015 - 13:42

447

Views

The averages of a subharmonic function over concentric balls increase with radius

Published on 05 Apr 2026 - 1:24

56

Views

the relationship between $W^{k,p}(\Omega)$ and $W^{k,p}_0(\Omega)$

Published on 23 Dec 2015 - 4:12

78

Views

Sobolev function and polynomials

Published on 26 Dec 2015 - 15:08

215

Views

How to proof $C_0^\infty(\mathbb{R}^n)$ is dense in $H^s(\mathbb{R}^n)$ by using mollifier

Published on 26 Dec 2015 - 16:27

List Question

The Schwartz function and the sobolev space $W^{2,p}$

How to show $ \sup\limits_{k}||u_k||_{W^{1.q}(U)}<\infty $?

Intuition behind the definition of the space $H_{0}^{1}(I) (=W_{0}^{1,2})$

Rellich-Kondrachov compacteness theorem for the Euclidean space with Gaussian measure

The Sobolev Space $W^{1,p}(I)$ is complete

The finite product of $L^p$ spaces is reflexive ($1<p<\infty$)

antiderivative of $\psi'(u)$ for $u\in W^{1,2}_0((a,b))$

weak formulation of $u''=\psi'(u)+f$ with $ u\in W^{1,2}_0((a,b))$.

Sobolev space and integration by parts on non-orientable manifolds

Cut off function in N-dimension

Sobolev embedding into $L^\infty$

The averages of a subharmonic function over concentric balls increase with radius

the relationship between $W^{k,p}(\Omega)$ and $W^{k,p}_0(\Omega)$

Sobolev function and polynomials

How to proof $C_0^\infty(\mathbb{R}^n)$ is dense in $H^s(\mathbb{R}^n)$ by using mollifier

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