Multiplicity results for the Kirchhoff type equation via critical groups

Abstract

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 equation is coercive.

Keywords

• Kirchhoff type equations
• Multiple solutions
• Morse theory