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Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponentsopen access
- Authors
- Choi, Woocheol; Kim, Seunghyeok
- Issue Date
- Feb-2017
- Publisher
- SPRINGER HEIDELBERG
- Keywords
- Fractional Laplacian; Critical nonlinearity; Multi-peak solutions; Blow-up analysis
- Citation
- ANNALI DI MATEMATICA PURA ED APPLICATA, v.196, no.1, pp.269 - 308
- Indexed
- SCIE
SCOPUS
- Journal Title
- ANNALI DI MATEMATICA PURA ED APPLICATA
- Volume
- 196
- Number
- 1
- Start Page
- 269
- End Page
- 308
- ISSN
- 0373-3114
- Abstract
- We study qualitative properties of solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents where the associated fractional Laplacian is defined in terms of either the spectra of the Dirichlet Laplacian or the integral representation. As a consequence, we classify the asymptotic behavior of all finite energy solutions. Our method also provides a simple and unified approach to deal with the classical (local) Lane-Emden-Fowler equation for any dimension ˃2.
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Related Researcher
- Kim, Seung hyeok
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)