关键词: 多重性, 正解, 负解, Kirchhoff型方程

Abstract:

The authors dealt with the multiplicity of solutions of Kirchhoff type of equations. Using the asymptotic properties of the nonlinearity at infinity and zero, we obtained two positive solutions and two negative solutions by means of the Ekeland variational principle and mountain pass theorem.

Key words:  multiplicity, positive solutions, negative solutions, Kirchhoff type equations