期刊论文

Yan, Shusen

英文

Journal of Differential Equations

0022-0396

2019

267

7

4117-4147

10.1016/j.jde.2019.04.029

W. Long was partially supported by NSFC (No. 11501264 and No. 11871253 ), and by the NSF of Jiangxi Province (No. 20171BCB23030 ). S. Yan was partially supported by NSFC (No. 11629101 ). J. Yang was partially supported by NSFC (No. 11671179 and No. 11771300 ).

本校为通讯机构

Let Omega(epsilon) be a bounded domain in R-N with small holes. In this paper, we study the existence of solutions for the following problem { (-Delta)(s) u = u(2)*(s-1), u > 0, in Omega(epsilon), u = 0, in R-N \ Omega(epsilon,) where 0 < s < 1 and 2(s)*= 2N/N-2s. We construct solutions which blow up like a volcano near the center of each hole in Omega(ep...