Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces-Reference-Cited by-同舟云学术

Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces

Published:2022-01-06 Issue:3-4 Volume:126 Page:201-214
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Maione Alberto¹,Salort Ariel M.²³,Vecchi Eugenio⁴

Affiliation:

1. Abteilung für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Straße 10, 79104 Freiburg i. Br., Germany. E-mail: alberto.maione@mathematik.uni-freiburg.de

2. Departamento de Matemática, FCEyN – Universidad de Buenos Aires, Pabellón I (1428) Av. Cantilo s/n., Buenos Aires, Argentina. E-mail: asalort@dm.uba.ar; URL:

3. IMAS – CONICET Ciudad Universitaria, Argentina

4. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci, 20133, Milano (MI), Italy. E-mail: eugenio.vecchi@polimi.it

Abstract

In this note we prove the validity of the Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces. This complements a previous asymptotic study of the limit as s ↑ 1 performed by the second author in (Studia Mathematica (2020)).

Publisher

IOS Press

Subject

General Mathematics

Reference43 articles.

1. On the Limit as $$s\rightarrow 0^+$$ of Fractional Orlicz–Sobolev Spaces

2. Existence and concentration results for some fractional Schrödinger equations in R N with magnetic fields;Ambrosio;Comm. Partial Differential Equations,2019

3. Multiple concentrating solutions for a fractional Kirchhoff equation with magnetic fields;Ambrosio;Discrete Contin. Dyn. Syst.,2020

4. Multiplicity and concentration results for a fractional Schrödinger–Poisson type equation with magnetic field;Ambrosio;Proc. Roy. Soc. Edinburgh Sect. A,2020

5. Nonlinear fractional magnetic Schrödinger equation: Existence and multiplicity;Ambrosio;J. Differential Equations,2018

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the modulus of continuity of fractional Orlicz-Sobolev functions;Mathematische Annalen;2024-09-02

2. Magnetic fractional Poincaré inequality in punctured domains;Journal of Mathematical Analysis and Applications;2024-07

3. Existence and multiplicity of solutions to magnetic Kirchhoff equations in Orlicz-Sobolev spaces;Fractional Calculus and Applied Analysis;2023-03-06

4. Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces;Nonlinear Analysis;2022-03

5. Hardy inequalities in fractional Orlicz-Sobolev spaces;Publicacions Matemàtiques;2022-01-01