Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian

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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].
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2014-06
Language
English
Article Type
Article
Keywords

CRITICAL SOBOLEV EXPONENT; HARDY-LITTLEWOOD-SOBOLEV; EXTENSION PROBLEM; MOVING SPHERES; EQUATIONS; INEQUALITY; REGULARITY; BUBBLE; TOWER; DERIVATIVES

Citation

JOURNAL OF FUNCTIONAL ANALYSIS, v.266, no.11, pp.6531 - 6598

ISSN
0022-1236
DOI
10.1016/j.jfa.2014.02.029
URI
http://hdl.handle.net/10203/189014
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