A critical elliptic problem involving fractional Laplacian operator in domains with shrinking holes

Wei Long,Shusen Yan,Jianfu Yang

doi:10.1016/j.jde.2019.04.029

A critical elliptic problem involving fractional Laplacian operator in domains with shrinking holes

Wei Long, Shusen Yan + Show 1 more

Open Access

https://doi.org/10.1016/j.jde.2019.04.029

Copy DOI

Journal: Journal of Differential Equations	Publication Date: May 7, 2019
Citations: 8	License type: publisher-specific-oa

Affiliation: Central China Normal University, Jiangxi Normal University

#Small Holes #Fractional Operator + Show 7 more

Abstract
Full-Text PDF
Similar Papers

Abstract

Let Ωε be a bounded domain in RN with small holes. In this paper, we study the existence of solutions for the following problem{(−Δ)su=u2s⁎−1,u>0,inΩε,u=0,inRN∖Ωε, where 0<s<1 and 2s⁎=2NN−2s. We construct solutions which blow up like a volcano near the center of each hole in Ωε

Full Text