Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations

Abstract This paper is concerned with the following nonlinear fractional Kirchhoff equation: (a+b∫R3|(−Δ)s2u|2dx)(−Δ)su+V(x)u=f(u),x∈R3, $$\biggl(a+b \int _{\mathbb{R}^{3}} \bigl\vert (-\Delta )^{\frac{s}{2}}u \bigr\vert ^{2}\,dx \biggr) (- \Delta )^{s}u+V(x)u=f(u), \quad x\in \mathbb{R}^{3}, $$ whe...

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Bibliographic Details
Main Authors: Yang Wang, Yansheng Liu, Yujun Cui
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1114-8