Dirichlet problem in Banach spaces: the bound sets approach

被引:0
|
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;
D O I
暂无
中图分类号
学科分类号
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.
引用
收藏
相关论文
共 50 条
  • [41] On integration in banach spaces and total sets
    Rodriguez, Jose
    QUAESTIONES MATHEMATICAE, 2020, 43 (5-6) : 731 - 745
  • [42] Weakly Ramsey sets in Banach spaces
    Bagaria, J
    López-Abad, J
    ADVANCES IN MATHEMATICS, 2001, 160 (02) : 133 - 174
  • [43] Banach spaces that admit support sets
    Borwein, JM
    Vanderwerff, JD
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (03) : 751 - 755
  • [44] There is no bound on sizes of indecomposable Banach spaces
    Koszmider, Piotr
    Shelah, Saharon
    Swietek, Michal
    ADVANCES IN MATHEMATICS, 2018, 323 : 745 - 783
  • [45] Correction to: The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces
    Anders Björn
    Jana Björn
    Visa Latvala
    Potential Analysis, 2023, 59 : 2131 - 2132
  • [46] Elliptic operators in rough sets and the Dirichlet problem with boundary data in Hölder spaces
    Cao, Mingming
    Hidalgo-Palencia, Pablo
    Martell, Jose Maria
    Prisuelos-Arribas, Cruz
    Zhao, Zihui
    JOURNAL OF FUNCTIONAL ANALYSIS, 2025, 288 (05)
  • [47] On a Cauchy Problem in Banach Spaces
    Cheng, Lixin
    Zhang, Wen
    RESULTS IN MATHEMATICS, 2023, 78 (05)
  • [48] The Monge Problem in Banach Spaces
    Henri Heinich
    Journal of Theoretical Probability, 2006, 19 : 509 - 534
  • [49] On a Cauchy Problem in Banach Spaces
    Lixin Cheng
    Wen Zhang
    Results in Mathematics, 2023, 78
  • [50] The Monge problem in Banach spaces
    Heinich, Henri
    JOURNAL OF THEORETICAL PROBABILITY, 2006, 19 (02) : 509 - 534