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Asymptotic behavior of solutions for nonlinear elliptic problem with the fractional Laplacian
- Title
- Asymptotic behavior of solutions for nonlinear elliptic problem with the fractional Laplacian
- Author
- 김승혁
- Keywords
- Fractional Laplacian; Critical nonlinearity; Asymptotic behavior of least energy solutions; Lyapunov-Schmidt reduction
- Issue Date
- 2014-06
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
- Citation
- JOURNAL OF FUNCTIONAL ANALYSIS, 권: 266, 호: 11, 페이지: 6531-6598
- Abstract
- In this paper we study the asymptotic behavior of least energy solutions and the existence of multiple bubbling solutions of nonlinear elliptic equations involving the fractional Laplacians and the critical exponents. This work can be seen as a nonlocal analog of the results of Han (1991) [24] and Rey (1990) [35]. (C) 2014 Elsevier Inc. All rights reserved.
- URI
- http://www.sciencedirect.com/science/article/pii/S0022123614000913?via%3Dihubhttp://hdl.handle.net/20.500.11754/47872
- ISSN
- 0022-1236; 1096-0783
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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