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arXiv · 2210.00574

Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents

Minhyun Kim
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Abstract

A Bourgain--Brezis--Mironescu-type theorem for fractional Sobolev spaces with variable exponents is established for sufficiently regular functions. We prove, however, that a limiting embedding theorem for these spaces fails to hold in general.

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BibTeXRIS

Minhyun Kim. 2022-10-02. Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents. https://doi.org/10.1007/s10231-023-01333-y

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