Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type |
| |
Authors: | Zhi-tao Zhang Yi-min Sun |
| |
Affiliation: | 1.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing,China;2.School of Mathematics,Northwest University,Xi’an,China |
| |
Abstract: | Firstly, we use Nehari manifold and Mountain Pass Lemma to prove an existence result of positive solutions for a class of nonlocal elliptic system with Kirchhoff type. Then a multiplicity result is established by cohomological index of Fadell and Rabinowitz. We also consider the critical case and prove existence of positive least energy solution when the parameter β is sufficiently large. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|