Dirichlet problem in Banach spaces: the bound sets approach

被引:0
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作者
Jan Andres
Luisa Malaguti
Martina Pavlačková
机构
[1] Palacký University,Department of Mathematical Analysis, Faculty of Science
[2] University of Modena and Reggio Emilia,Department of Engineering Sciences and Methods
来源
Boundary Value Problems | / 2013卷
关键词
Dirichlet problem; bounding functions; solutions in a given set; condensing multivalued operators;
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摘要
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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