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.
Dirichlet problem in Banach spaces: the bound sets approach / Jan, Andres; Malaguti, Luisa; Martina, Pavlackova. - In: BOUNDARY VALUE PROBLEMS. - ISSN 1687-2770. - ELETTRONICO. - 2013:(2013), pp. 25-46. [10.1186/1687-2770-2013-25]
Dirichlet problem in Banach spaces: the bound sets approach
MALAGUTI, Luisa;
2013
Abstract
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.
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