Dirichlet problem in Banach spaces: the bound sets approach
Ján Andres, Luisa Malaguti, Martina Pavlačková · Boundary Value Problems · 2013
The existence and localization result is obtained for a multivalued Dirichlet problem in a Banach space. The upper-Carathéodory and Marchaud right-hand sides are treated separately because in the latter case, the transversality conditions derived by means of bounding functions can be strictly localized on the boundaries of bound sets. MSC: 34A60, 34B15, 47H04.