TITLE:
Positive Radial Solutions for a Class of Semilinear Elliptic Problems Involving Critical Hardy-Sobolev Exponent and Hardy Terms
AUTHORS:
Yong-Yi Lan
KEYWORDS:
Hardy Singular Terms, Hardy-Sobolev Exponent, Positive Radial Solution, Perturbation Method, Variational Approach
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.11,
November
17,
2017
ABSTRACT: In this paper, we investigate the solvability of a class of semilinear elliptic equations which are perturbation of the problems involving critical Hardy-Sobolev exponent and Hardy singular terms. The existence of at least a positive radial solution is established for a class of semilinear elliptic problems involving critical Hardy-Sobolev exponent and Hardy terms. The main tools are variational method, critical point theory and some analysis techniques.