Multiple solutions for a class of Kirchhoff type problems with concave nonlinearity

作者：Cheng Bitao^*; Wu Xian; Liu Jun

来源：Nodea-Nonlinear Differential Equations and Applications, 2012, 19(5): 521-537.

DOI：10.1007/s00030-011-0141-2

• Critical point
• Ekeland variational principle
• Kirchhoff type problems
• Multiple solutions

In the present paper, by applying variant mountain pass theorem and Ekeland variational principle we study the existence of multiple nontrivial solutions for a class of Kirchhoff type problems with concave nonlinearity
{-(a + b integral(Omega)vertical bar del vertical bar(2))Delta u - alpha(x)vertical bar u vertical bar(q-2)u + c(x, u), in Omega u = 0, on partial derivative Omega
A new existence theorem and an interesting corollary of four nontrivial solutions are obtained.

• 出版日期2012-10
• 单位曲靖师范学院