A non-smooth three critical points theorem with applications in differential inclusions

作者：Kristaly Alexandru^*; Marzantowicz Waclaw; Varga Csaba

来源：Journal of Global Optimization, 2010, 46(1): 49-62.

DOI：10.1007/s10898-009-9408-0

• Locally Lipschitz functions
• Critical points
• Differential inclusions

We extend a recent result of Ricceri concerning the existence of three critical points of certain non-smooth functionals. Two applications are given, both in the theory of differential inclusions; the first one concerns a non-homogeneous Neumann boundary value problem, the second one treats a quasilinear elliptic inclusion problem in the whole R(N).

• 出版日期2010-1