Some characterizations of magnetic Sobolev spaces
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Publication:5113379
DOI10.1080/17476933.2018.1520850zbMath1454.46034OpenAlexW2998393158WikidataQ129150351 ScholiaQ129150351MaRDI QIDQ5113379
Eugenio Vecchi, Hoai-Minh Nguyen, Andrea Pinamonti, Marco Squassina
Publication date: 11 June 2020
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: http://infoscience.epfl.ch/record/231398
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02)
Related Items (9)
The Kirchhoff-type diffusion problem driven by a magnetic fractional Laplace operator ⋮ Sobolev spaces and \(\nabla\)-differential operators on manifolds. I: Basic properties and weighted spaces ⋮ Asymptotic behaviours in fractional Orlicz-Sobolev spaces on Carnot groups ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces ⋮ Variational approach for the variable-order fractional magnetic Schrödinger equation with variable growth and steep potential in \(\mathbb{R}^N\) ⋮ On the limit as \(s\to 1^-\) of possibly non-separable fractional Orlicz-Sobolev spaces ⋮ Existence of entire solutions for critical Sobolev–Hardy problems involving magnetic fractional operator ⋮ Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces
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