Fractional gradients and nonlocal PDEs in variable exponent spaces 6AD2CTF0QF

URI	`m2://res/6AD2CTF0QF`
Kind	preprint
Creators	Susana Moura, Cornelia Schneider
Date	2026-10-06
MSC	35-XX, 46-XX
Subjects	arxiv math.AP, arxiv math.FA
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Basic properties of the Riesz fractional gradient	statement	theorem 2.4	arxiv
Euler--Lagrange equation	statement	theorem 3.8	arxiv
8KV7TKQJT1	statement	corollary 3.4	arxiv
Fractional FTOC	statement	theorem 2.8	arxiv
Variable exponent fractional Trudinger inequality	statement	theorem 2.15	arxiv
Variable exponent fractional Morrey type inequality	statement	theorem 2.16	arxiv
Local Sobolev type inequality	statement	theorem 2.12	arxiv
Fractional gradient	definition	definition 2.2	arxiv
FCJ1JRSMVN	definition	definition 3.5	arxiv
Fractional $p(\cdot)$-Laplace equation	statement	corollary 3.9	arxiv
Variable exponent Morrey estimate for the Riesz potential	statement	corollary 2.17	arxiv
Characterization via variable Bessel potential spaces	statement	theorem 2.9	arxiv
PXY1FTJM7S	definition	definition 2.6	arxiv
Mazur's Theorem	statement	theorem 3.1	arxiv
SPGDXJVSYF	definition	definition 2.1	arxiv
Fractional Hardy inequality	statement	theorem 2.13	arxiv
Existence Theorem	statement	theorem 3.6	arxiv
WYFN5TQ49D	statement	theorem 3.2	arxiv
Sobolev-type inequality	statement	theorem 2.11	arxiv