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Bourgain-Brezis-Mironescu formula for magnetic fractional Sobolev spaces with variable exponents

delete2026-02-01
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PRE
AI
L
Lorenzo, Rosa
O
Ochoa, Pablo
S
Silva, Analia *
DOI：10.1007/s10231-026-01673-5delete
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Abstract

Abstract

En 中文
In this paper, we state the so-called Bourgain-Brezis-Mironescu formula in the setting of magnetic fractional Sobolev spaces with variable exponents. To the best of our knowledge, this is the first time that these spaces are considered. We also show that, unlike the constant-power case, there are functions in the limiting space for which the BBM formula does not hold. Moreover, we define a generalization of the Schr & ouml;dinger operator related to the magnetic energy functional with variable exponents.
Keywords:
Bourgain-Brezis-Mironescu formula
Magnetic fractional Sobolev spaces
Non-standard growth operators

Journal

A
ANNALI DI MATEMATICA PURA ED APPLICATA
IF:
0.9
Papers:
75
Citations:
0

Organization

U
universidad nacional de san luis
Scholars:
1.4K
Papers: 1.0K
Citations: 2
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