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Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents
- Authors
- Kim, Minhyun
- Issue Date
- Apr-2023
- Publisher
- SPRINGER HEIDELBERG
- Keywords
- Fractional Sobolev space; Variable exponent; Limiting embedding
- Citation
- ANNALI DI MATEMATICA PURA ED APPLICATA, v.202, no.6, pp.2653 - 2664
- Indexed
- SCIE
SCOPUS
- Journal Title
- ANNALI DI MATEMATICA PURA ED APPLICATA
- Volume
- 202
- Number
- 6
- Start Page
- 2653
- End Page
- 2664
- ISSN
- 0373-3114
- 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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Related Researcher
- Kim, Minhyun
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)