Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents
- Title
- Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents
- Author
- 김승혁
- Keywords
- Fractional Laplacian; Critical nonlinearity; Multi-peak solutions; Blow-up analysis
- Issue Date
- 2017-02
- Publisher
- SPRINGER HEIDELBERG
- Citation
- ANNALI DI MATEMATICA PURA ED APPLICATA, v. 196, no. 1, page. 269-308
- 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.
- URI
- https://link.springer.com/article/10.1007%2Fs10231-016-0572-9https://repository.hanyang.ac.kr/handle/20.500.11754/112949
- ISSN
- 0373-3114; 1618-1891
- DOI
- 10.1007/s10231-016-0572-9
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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