Back to Search
Start Over
Existence and multiplicity of solutions for nonlocal systems with Kirchhoff type
- Publication Year :
- 2014
-
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 $\beta$ is sufficiently large.<br />Comment: appears in Acta. Math. Applica. Sinica, 2014
- Subjects :
- Mathematics - Analysis of PDEs
35J55, 35J65, 49J40
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1410.6225
- Document Type :
- Working Paper