A new critical point theorem for locally Lipschitz functionals with applications to differential equations

作者：Wu Xian^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2007, 66(3): 624-638.

DOI：10.1016/j.na.2005.12.006

• critical point
• locally Lipschitz function
• generalized gradient
• PS condition

In the present paper, a new critical point theorem for locally Lipschitz functions is given, and as applications, one existence and two multiplicity results for zero boundary value problems are obtained. Several important classical theorems are improved.

• 出版日期2007-2-1
• 单位云南师范大学