List questions from sobolev-spaces

Published on 11 Apr 2026 - 1:29

357

Views

Why is there no second weak derivative for $f(x) = \lvert x \rvert$?

Published on 13 Apr 2026 - 23:46

279

Views

Proof of the Sobolev inequality $\|u\|_{L^\infty(I)} \le C \|u\|_{W^{1,p}(I)}$

Published on 14 Apr 2026 - 23:19

577

Views

How to show a classical solution of Dirichlet problem for Poisson equation is always a weak solution?

Published on 10 Apr 2026 - 10:17

87

Views

Does $\int_{E^c}\int_{E}\frac{dy\, dx}{|x-y|^{n+\alpha}}$ converge for any $E$?

Published on 14 Apr 2026 - 10:32

102

Views

Steklov average

Published on 14 Apr 2026 - 8:42

292

Views

Finding weak derivative of a piecewise function

Published on 13 Apr 2026 - 21:39

812

Views

Sobolev embedding: the injection of $H^1(I)$ into $L^2(I)$ is compact

Published on 14 Apr 2026 - 6:11

114

Views

Change of variable for a weak derivative

Published on 15 Apr 2026 - 14:58

237

Views

Clarification regarding a weak derivative and Dirac delta function

Published on 10 Apr 2026 - 19:28

180

Views

Weak convergence $u_n \to u$ in $W_0^{1,p}(\Omega)$ implies weak convergence $|\nabla u_n|^q \to |\nabla u|^q$ in $L^{p/q}(\Omega)$?

Published on 15 Apr 2026 - 21:17

274

Views

Inclusion between Bourgain spaces $X^{s,b}$.

Published on 10 Apr 2026 - 18:07

257

Views

Would you help me to find $C_n\|u_{m,n}\|^{\left(\frac{2}{2}\right)^k\frac{2-q}{(r_k)^k}}_{L^{2*}(\Omega)}$?

Published on 14 Apr 2026 - 22:33

61

Views

Sobolev embedding theorem on Manifolds

Published on 10 Apr 2026 - 4:11

73

Views

Does there exist a function in $B_{\infty,1}^{1/2}\setminus H^{1/2}$?

Published on 10 May 2026 - 16:24

List Question

Sobolev spaces are Hilbert spaces

Why is there no second weak derivative for $f(x) = \lvert x \rvert$?

Proof of the Sobolev inequality $\|u\|_{L^\infty(I)} \le C \|u\|_{W^{1,p}(I)}$

How to show a classical solution of Dirichlet problem for Poisson equation is always a weak solution?

Does $\int_{E^c}\int_{E}\frac{dy\, dx}{|x-y|^{n+\alpha}}$ converge for any $E$?

Steklov average

Finding weak derivative of a piecewise function

Sobolev embedding: the injection of $H^1(I)$ into $L^2(I)$ is compact

Change of variable for a weak derivative

Clarification regarding a weak derivative and Dirac delta function

Weak convergence $u_n \to u$ in $W_0^{1,p}(\Omega)$ implies weak convergence $|\nabla u_n|^q \to |\nabla u|^q$ in $L^{p/q}(\Omega)$?

Inclusion between Bourgain spaces $X^{s,b}$.

Would you help me to find $C_n\|u_{m,n}\|^{\left(\frac{2}{2}\right)^k\frac{2-q}{(r_k)^k}}_{L^{2*}(\Omega)}$?

Sobolev embedding theorem on Manifolds

Does there exist a function in $B_{\infty,1}^{1/2}\setminus H^{1/2}$?

Trending Questions

Popular # Hahtags

Popular Questions