A coincidence point theorem for sequentially continuous mappings

作者：Bonanno Gabriele; Candito Pasquale^*; Motreanu Dumitru

来源：Journal of Mathematical Analysis and Applications, 2016, 435(1): 606-615.

DOI：10.1016/j.jmaa.2015.10.039

• Coincidence point
• Fixed point
• Critical point
• Nonlinear differential problem
• Two point boundary value problem

The aim of this paper is to present a coincidence point theorem for sequentially weakly continuous maps. Moreover, as a consequence, a critical point theorem for functionals possibly containing a nonsmooth part is obtained. Finally, as an application, existence results for nonlinear differential problems depending also on the derivative of the solution are established.

• 出版日期2016-3-1