Multiple small solutions for Kirchhoff equation with local sublinear nonlinearities

作者：Wang, Li-Li; Han, Zhi-Qing^*

来源：Applied Mathematics Letters, 2016, 59: 31-37.

DOI：10.1016/j.aml.2016.03.003

• Kirchhoff equation
• Symmetric mountain pass theorem
• Small solution
• Sublinear term

In this paper we discuss the following Kirchhoff equation in R-N @@@ -(a + b integral vertical bar del u vertical bar(2)) Delta u + V(x)u = f (x, u), @@@ where a, b > 0 are constants and N >= 3. Without any growth condition for the nonlinear term f(x, u) on u at infinity, we obtain a sequence of solutions converging to zero in some Sobolev spaces.

• 出版日期2016-9
• 单位通化师范学院; 大连理工大学