Multiplicity results for the Kirchhoff type equation via critical groups

Multiplicity results for the Kirchhoff type equation via critical groups

Abstract In this paper, we will compute critical groups at zero for the Kirchhoff type equation using the property that critical groups are invariant under homotopies preserving isolatedness of critical points. Using this results, we can get more nontrivial solutions when the functional of this equa...

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Bibliographic Details
Main Authors: Zhenting Wang, Mingzheng Sun, Yutong Chen, Leiga Zhao
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Boundary Value Problems
Subjects:
Kirchhoff type equations
Multiple solutions
Morse theory
Online Access:http://link.springer.com/article/10.1186/s13661-018-1107-7

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