New posts in Sobolev Spaces

Sobolev spaces fourier norm equivalence

Regularity of elliptic PDE with coefficients in some Sobolev space

$C^\infty_{0}(\bar\Omega)$ dense in $W^{k,p}(\Omega)$: the closure is necessary?

Smoothing a Sobolev function

An inequality in the proof of characterization of the $H^{-1}$ norm in Evans's PDE book

Is an $H_0^1$ function continuous to the boundary if it is continuous in the interior?

Averaging the mass of a Sobolev function $f\in W^{1,p}(\Omega)$ near $\partial\Omega$

Arzelà-Ascoli theorem and Hölder spaces

Can we perturb a map $\mathbb{R}^n \to \mathbb{R}^n$ to have high rank?

Making the Fourier transform quantitative