List questions from sobolev-spaces

Published on 11 Apr 2026 - 13:22

32

Views

If $(u, v)\in W^{1, p}(\Omega)\times W^{1, q}(\Omega)$, what does the notation $|(u, v)|$ mean?

Published on 15 Apr 2026 - 18:03

28

Views

If $\|(x_n, y_n)\|_W\to +\infty\quad\mbox{ as } n\to +\infty,$ we can assume WLOG that $\|x_n\|_{W^{1, p}}\to +\infty$?

Published on 16 Apr 2026 - 15:59

58

Views

The relations between $ L^2 $ and $ H^{-1} $.

Published on 15 Apr 2026 - 3:26

31

Views

Prove a certain functional is unbounded from above

Published on 12 Apr 2026 - 4:18

131

Views

Density of $[H^2(\Omega) \cap H^1_0(\Omega)] \times H^1_0(\Omega)$ in $H^1_0(\Omega) \times L^2(\Omega)$

Published on 15 Apr 2026 - 17:32

81

Views

Assumptions in Schauder Fixed Point Theorem

Published on 13 Apr 2026 - 6:21

93

Views

About the continuity of the integral on the boundary of a ball of a $H^1$ function

Published on 11 Apr 2026 - 4:02

44

Views

Derivative of a map $f:\mathbb R \to \ell^2 $ to a separable Hilbert space vs derivative of each component of the Hilbert basis.

Published on 16 Apr 2026 - 18:47

152

Views

About a remark in Evans PDE, in the regularity of elliptic equation

Published on 13 Apr 2026 - 7:55

588

Views

Reference for Sobolev-Hölder embedding for unbounded domains

Published on 14 Apr 2026 - 10:10

202

Views

Composition $F\circ g$ of Sobolev function $g \in W^{k,2}(\mathbb R^n)$ with smooth map $F$ is Sobolev

Published on 13 Apr 2026 - 19:26

205

Views

Interpolation of Bochner-Sobolev spaces

Published on 11 May 2026 - 5:19

34

Views

Can we use Newton-Leibnitz for $W^{1,p}$ function

Published on 16 Apr 2026 - 13:15

156

Views

A coercive bilinear form

Published on 09 Apr 2026 - 6:03

List Question

Is a piecewise absolutely continuous function is in $W^{1,\infty}$

If $(u, v)\in W^{1, p}(\Omega)\times W^{1, q}(\Omega)$, what does the notation $|(u, v)|$ mean?

If $\|(x_n, y_n)\|_W\to +\infty\quad\mbox{ as } n\to +\infty,$ we can assume WLOG that $\|x_n\|_{W^{1, p}}\to +\infty$?

The relations between $ L^2 $ and $ H^{-1} $.

Prove a certain functional is unbounded from above

Density of $[H^2(\Omega) \cap H^1_0(\Omega)] \times H^1_0(\Omega)$ in $H^1_0(\Omega) \times L^2(\Omega)$

Assumptions in Schauder Fixed Point Theorem

About the continuity of the integral on the boundary of a ball of a $H^1$ function

Derivative of a map $f:\mathbb R \to \ell^2 $ to a separable Hilbert space vs derivative of each component of the Hilbert basis.

About a remark in Evans PDE, in the regularity of elliptic equation

Reference for Sobolev-Hölder embedding for unbounded domains

Composition $F\circ g$ of Sobolev function $g \in W^{k,2}(\mathbb R^n)$ with smooth map $F$ is Sobolev

Interpolation of Bochner-Sobolev spaces

Can we use Newton-Leibnitz for $W^{1,p}$ function

A coercive bilinear form

Trending Questions

Popular # Hahtags

Popular Questions