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Exact local behavior of positive solutions for a semilinear elliptic equation with Hardy term


Author: Jianqing Chen
Journal: Proc. Amer. Math. Soc. 132 (2004), 3225-3229
MSC (2000): Primary 35J65, 58E05
DOI: https://doi.org/10.1090/S0002-9939-04-07567-7
Published electronically: June 21, 2004
MathSciNet review: 2073296
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Abstract | References | Similar Articles | Additional Information

Abstract: We characterize an exact growth order near zero for positive solutions of a semilinear elliptic equation with Hardy term. This result strengthens an existence result due to E. Jannelli [The role played by space dimension in elliptic critical problems, JDE 156 (1999), 407-426].

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Additional Information

Jianqing Chen
Affiliation: Department of Mathematics, Fujian Normal University, Fuzhou, 350007, Peoples Republic of China
Email: jqchen@fjnu.edu.cn

DOI: https://doi.org/10.1090/S0002-9939-04-07567-7
Keywords: Positive solutions, exact local behavior, critical Hardy-Sobolev exponent
Received by editor(s): May 13, 2003
Published electronically: June 21, 2004
Additional Notes: The author was supported by the National Natural Sciences Foundation of China.
Communicated by: David S. Tartakoff
Article copyright: © Copyright 2004 American Mathematical Society