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math.APMay 10, 2020
8
citations (OpenAlex)
authors
  • Alberto Maione
  • Ariel Martin Salort
  • Eugenio Vecchi
institutions
  • Consejo Nacional de Investigaciones Científicas y Técnicas
  • Politecnico di Milano
  • Universidad de Buenos Aires
  • University of Freiburg
arXiv abstractPDF
paper

Maz'ya-Shaposhnikova formula in Magnetic Fractional Orlicz-Sobolev spaces

arXiv:2005.04662 · doi:10.3233/ASY-211677

Abstract

In this note we prove the validity of the Maz'ya-Shaposhnikova formula in magnetic fractional Orlicz-Sobolev spaces. This complements a previous study of the limit as s↑1 performed by the second author in [21].

References in corpus (6)

  • On a non-homogeneous eigenvalue problem involving a potential: an Orlicz-Sobolev space setting
  • On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity
  • Existence and concentration results for some fractional Schrödinger equations in RN with magnetic fields
  • Multiplicity and concentration results for a fractional Schrödinger-Poisson type equation with magnetic field
  • Asymptotic behaviours in Fractional Orlicz-Sobolev spaces on Carnot groups
  • On the Maz'ya-Shaposhnikova formula in Orlicz-Sobolev spaces on Carnot groups

Cited by in corpus (1)

  • Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces
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