List questions from sobolev-spaces

Published on 14 Apr 2026 - 23:15

204

Views

Question on approximation by smooth functions in Sobolev Space

Published on 13 Apr 2026 - 3:28

131

Views

If $-\Delta + a$ is coercive, then $\int_\Omega |\nabla u|^2 + a u^2 \ge C \int_\Omega|\nabla u|^2$.

Published on 15 Apr 2026 - 1:14

92

Views

Lower bound via Sobolev Inequality

Published on 16 Apr 2026 - 4:05

239

Views

Reverse of Hausdorff Young Inequality

Published on 14 Apr 2026 - 0:49

137

Views

A problem on weak convergence: weak convergence of a sequence implies the weak convergence of the square of this sequence?

Published on 16 Apr 2026 - 1:10

112

Views

A precise definition of weak solution for $\Delta u=0$.

Published on 09 Apr 2026 - 23:27

486

Views

The regularity of a piecewise constant function in Sobolev spaces

Published on 13 Apr 2026 - 2:12

127

Views

How to prove that $W^n_p[0,1]$ is a Banach space?

Published on 13 Apr 2026 - 14:03

174

Views

Is it possible to show $C^\alpha$ is dense in $W^{p,\alpha}$ in fractional Sobolev norm?

Published on 12 Apr 2026 - 5:32

149

Views

The inclusion of $W^{1,p}$, $p\geq1$ into $C[0,1]$ with sup norm is bounded.

Published on 15 Apr 2026 - 4:43

250

Views

Does $H^1(0,\infty)$ function posses a uniformly continuous representative?

Published on 10 Apr 2026 - 18:05

424

Views

Every function $f \in L^2(\Omega)$ admits a weak derivative.

Published on 13 Apr 2026 - 2:01

63

Views

Product with a smooth function, Sobolev regularity and pseudo-differential operator

Published on 13 Apr 2026 - 15:52

109

Views

Prove the norm $|||u||| = \|u\|_p +\|u\|_q$ is equivalent to $W^{1,p}$ norm

Published on 17 Apr 2026 - 13:46

List Question

Sobolev space on manifolds and charts

Question on approximation by smooth functions in Sobolev Space

If $-\Delta + a$ is coercive, then $\int_\Omega |\nabla u|^2 + a u^2 \ge C \int_\Omega|\nabla u|^2$.

Lower bound via Sobolev Inequality

Reverse of Hausdorff Young Inequality

A problem on weak convergence: weak convergence of a sequence implies the weak convergence of the square of this sequence?

A precise definition of weak solution for $\Delta u=0$.

The regularity of a piecewise constant function in Sobolev spaces

How to prove that $W^n_p[0,1]$ is a Banach space?

Is it possible to show $C^\alpha$ is dense in $W^{p,\alpha}$ in fractional Sobolev norm?

The inclusion of $W^{1,p}$, $p\geq1$ into $C[0,1]$ with sup norm is bounded.

Does $H^1(0,\infty)$ function posses a uniformly continuous representative?

Every function $f \in L^2(\Omega)$ admits a weak derivative.

Product with a smooth function, Sobolev regularity and pseudo-differential operator

Prove the norm $|||u||| = \|u\|_p +\|u\|_q$ is equivalent to $W^{1,p}$ norm

Trending Questions

Popular # Hahtags

Popular Questions