List questions from sobolev-spaces

Published on 06 Apr 2014 - 0:28

160

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Imbedding theorem for Sobolev space $D^{k,p}$

Published on 07 Apr 2014 - 9:20

1.4k

Views

Convergence in $L^2$ of difference quotients to derivative of function in $H^1$

Published on 08 Apr 2014 - 1:52

2.5k

Views

Discontinuous Sobolev Function

Published on 09 Apr 2014 - 6:00

560

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A literature reference for Sobolev mappings $W^{m,p}(M,N)$ for M, N smooth Riemannian manifolds

Published on 25 Mar 2026 - 9:40

88

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Show that this simple functional is not bounded below

Published on 09 Apr 2014 - 18:29

127

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Leibniz's rule in $W^{1,\,p}(\Omega)\cap L^\infty(\Omega)$

Published on 10 Apr 2014 - 1:06

1.7k

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Trace Operator on $L^2$ Functions

Published on 10 Apr 2014 - 8:28

6.5k

Views

Function in $H^1$, but not continuous

Published on 30 Mar 2026 - 8:01

53

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Is the set $\{ u \in H^1(\Omega) : 0 < a \leq u(x) \leq b\quad \text{a.e.}\}$ closed?

Published on 11 Apr 2014 - 11:06

373

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bilinear continuous, coercive form

Published on 28 Mar 2026 - 7:16

1.8k

Views

First eigenvalue of Laplacian and Poincaré inequality

Published on 12 Apr 2014 - 20:21

4.1k

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Chain rule for weak derivatives of $f(u)$ where $f'$ is not bounded but $u$ is?

Published on 25 Mar 2026 - 22:05

44

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Is 'f' belong sobolev?

Published on 16 Apr 2014 - 3:37

77

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What is the metric on ${(L^{p}(\Omega))}^N$? (prove that sobolev spaces uniformly convex)

Published on 16 Apr 2014 - 6:21

List Question

proof on Poincare's inequality.

Imbedding theorem for Sobolev space $D^{k,p}$

Convergence in $L^2$ of difference quotients to derivative of function in $H^1$

Discontinuous Sobolev Function

A literature reference for Sobolev mappings $W^{m,p}(M,N)$ for M, N smooth Riemannian manifolds

Show that this simple functional is not bounded below

Leibniz's rule in $W^{1,\,p}(\Omega)\cap L^\infty(\Omega)$

Trace Operator on $L^2$ Functions

Function in $H^1$, but not continuous

Is the set $\{ u \in H^1(\Omega) : 0 < a \leq u(x) \leq b\quad \text{a.e.}\}$ closed?

bilinear continuous, coercive form

First eigenvalue of Laplacian and Poincaré inequality

Chain rule for weak derivatives of $f(u)$ where $f'$ is not bounded but $u$ is?

Is 'f' belong sobolev?

What is the metric on ${(L^{p}(\Omega))}^N$? (prove that sobolev spaces uniformly convex)

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