Open AccessBoundary value problems with solutions in convex sets
Author(s) -
Gerd Herzog,
Peer Christian Kunstmann
Publication year - 2018
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2019.39.1.49
Subject(s) - mathematics , banach space , regular polygon , boundary value problem , continuation , dirichlet distribution , mathematical analysis , boundary (topology) , value (mathematics) , pure mathematics , geometry , statistics , computer science , programming language
By means of the continuation method for contractions we prove the existence of solutions of Dirichlet boundary value problems in convex sets. As an application we prove the existence of concave solutions of certain boundary value problems in ordered Banach spaces.
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