New posts in sobolev-spaces

Proof Nehari manifold of semilineal subcritical $-\Delta u = f(u)$ in $\Omega$ is not empty.

functional-analysis partial-differential-equations sobolev-spaces calculus-of-variations

Total variation of (weakly) differentiable functions

measure-theory sobolev-spaces geometric-measure-theory bounded-variation

The constant in the Sobolev trace theorem inequality

functional-analysis partial-differential-equations sobolev-spaces trace

Absolute value of functions in Sobolev space

real-analysis partial-differential-equations sobolev-spaces

Showing that Sobolev norms on manifolds are equivalent

real-analysis functional-analysis differential-geometry differential-topology sobolev-spaces

$W^{s,p}(\mathbb{R}^{n})$ Is Not Closed Under Multiplication when $s\leq n/p$

functional-analysis fourier-analysis sobolev-spaces littlewood-paley-theory fractional-sobolev-spaces

Understanding iterated covariant derivatives to define Sobolev spaces on manifolds

reference-request partial-differential-equations soft-question riemannian-geometry sobolev-spaces

For which $s\in\mathbb R$, is $H^s(\mathbb T)$ a Banach algebra?

analysis functional-analysis fourier-analysis sobolev-spaces banach-algebras

Poincaré's inequality proof for $u \in W_0^{1,p}(\Omega)$.

functional-analysis partial-differential-equations sobolev-spaces lp-spaces

When viewing Sobolev spaces as completions, how does the notion of weak derivative arise?

functional-analysis reference-request partial-differential-equations riemannian-geometry sobolev-spaces

Gauss–Ostrogradsky formula for Distributions

measure-theory sobolev-spaces distribution-theory lp-spaces

Norm and scalar product of $H_0^1(\Omega)$

functional-analysis sobolev-spaces

To what fractional Sobolev spaces does the step function belong? (Sobolev-Slobodeckij norm of step function)

integration sobolev-spaces

Poincaré Inequality

inequality partial-differential-equations sobolev-spaces

Is there a Rellich-Kondrachov theorem for manifolds with boundary?

differential-geometry reference-request sobolev-spaces

Could we find an inverse inequality from the trace theorem?

partial-differential-equations sobolev-spaces

Evans's proof of the Leibniz's formula for the weak derivatives in Sobolev spaces

partial-differential-equations sobolev-spaces weak-derivatives

Is $H_0^1(\mathbb{R}) \cap H^2(\mathbb{R})$ compactly embedded into $L^2(\mathbb{R})$? [duplicate]

functional-analysis partial-differential-equations sobolev-spaces

Prove Friedrichs' inequality

ordinary-differential-equations inequality sobolev-spaces integral-inequality

Is $(1-x)^{\alpha} \log(1-x)$ a Sobolev function?

sobolev-spaces fourier-transform fractional-calculus