Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms

作者：Cao, Xiaofei; Xu, Junxiang^*

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2016, (16): 1-14.

DOI：10.14232/ejqtde.2015.1.16

• Kirchhoff type problem
• Pohozaev identity
• variational method

In this paper, we consider the multiplicity of solutions for a class of Kirchhoff type problems with concave and convex nonlinearities on an unbounded domain. With the aid of Ekeland's variational principle, Jeanjean's monotone method and the Pohozaev identity we prove that the Kirchhoff problem has at least two solutions.

• 出版日期2016
• 单位东南大学