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.
Bonanno, G., Candito, P., Motreanu, D. (2016). A coincidence point theorem for sequentially continuous mappings. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 435(1), 606-615 [10.1016/j.jmaa.2015.10.039].
A coincidence point theorem for sequentially continuous mappings
Candito, Pasquale
;
2016-03-01
Abstract
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.
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