Author(s)

Yong-Yi Lan

School of Sciences, Jimei University, Xiamen, China.

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.

Hardy Singular Terms, Hardy-Sobolev Exponent, Positive Radial Solution, Perturbation Method, Variational Approach

Lan, Y. (2017) Positive Radial Solutions for a Class of Semilinear Elliptic Problems Involving Critical Hardy-Sobolev Exponent and Hardy Terms. Journal of Applied Mathematics and Physics, 5, 2205-2217. doi: 10.4236/jamp.2017.511180.