Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900247 | Journal of Mathematical Analysis and Applications | 2018 | 10 Pages |
Abstract
This paper is devoted to a class of important and general nonlocal fourth order elliptic problemÎ2uâ(1+λâ«R3|âu|2dx)Îu+V(x)u=f(x,u)inR3, where Î2=Î(Î) is the bi-harmonic operator, λâ¥0 is a constant. We focus on the case that f(x,u) involves a combination of convex and concave terms and the potential V(x) is allowed to be sign-changing. By new techniques, multiplicity results of two different type of solutions are established. Our results improves and generalizes that obtained in the literature.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Anmin Mao, Wenqing Wang,