Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615116 | Journal of Mathematical Analysis and Applications | 2015 | 20 Pages |
Abstract
In this paper, we study the existence of least energy nodal solutions for a class of Kirchhoff type problems in RNRN. Since the Kirchhoff equation is a nonlocal one, the variational setting to look for sign-changing solutions is different from the local cases. By using constrained minimization on the sign-changing Nehari manifold, we prove the Kirchhoff problem has a least energy nodal solution with its energy exceeding twice the least energy. As a co-product of our approaches, we obtain the existence of least energy sign-changing solution for Choquard equations in RNRN and show that the sign-changing solution has an energy strictly larger than the least energy and less than twice the least energy.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hongyu Ye,