Electronic Journal of Differential Equations, 
Vol. 2021 (2021), No. 23, pp. 1-27.

Title: Existence of multiple positive solutions for fractional Laplace problems 
       with critical growth
       
Authors: Yajing Zhang (Shanxi Univ., Taiyuan, Shanxi, China)
         Qiaoqin Li   (Shanxi Univ., Taiyuan, Shanxi, China)
         Lu Pang      (Shanxi Univ., Taiyuan, Shanxi, China)

Abstract:
 We prove the existence of multiple positive solutions of fractional Laplace problems
 with critical growth, we consider the concave power case or the convex power case.
 We establish the relationship between the number of the local maximum points of
 the coefficient function of the critical nonlinearity and the number of the positive
 solutions of the equation.

Submitted June 9, 2020. Published March 31, 2021.
Math Subject Classifications: 49J35, 35A15, 35S15.
Key Words: Positive solutions; fractional Laplace problems; critical growth;
           variational method; Nehari manifold.