Dirichlet problem in Banach spaces: the bound sets approach
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作者:
Jan Andres
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机构:Palacký University,Department of Mathematical Analysis, Faculty of Science
Jan Andres
Luisa Malaguti
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机构:Palacký University,Department of Mathematical Analysis, Faculty of Science
Luisa Malaguti
Martina Pavlačková
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机构:Palacký University,Department of Mathematical Analysis, Faculty of Science
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
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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.