On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in R N $\mathbb{R}^{N}$-Reference-Cited by-同舟云学术

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On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in R N $\mathbb{R}^{N}$

Published:2016-09-29 Issue:1 Volume:2016 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Deng Zhiying,Wang Qifeng,Huang Yisheng

Funder

National Natural Science Foundation of China

Project supported by Scientific and Technological Research Program of Chongqing Municipal Education Commission

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13660-016-1179-9.pdf

Reference33 articles.

1. Brezis, H, Nirenberg, L: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Commun. Pure Appl. Math. 36, 437-477 (1983)

2. Catrina, F, Wang, Z-Q: On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions. Commun. Pure Appl. Math. 54, 229-258 (2001)

3. Bouchekif, M, Messirdi, S: On elliptic problems with two critical Hardy-Sobolev exponents at the same pole. Appl. Math. Lett. 42, 9-14 (2015)

4. Xiang, C-L: Asymptotic behaviors of solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential. J. Differ. Equ. 259, 3929-3954 (2015)

5. Yang, J-F: Fractional Sobolev-Hardy inequality in R N $\mathbb{R}^{N}$ . Nonlinear Anal. 119, 179-185 (2015)

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