TY  - JOUR
ID  - Herzog2019
LB  - Herzog2019
AU  - Herzog, Gerd
AU  - Kunstmann, Peer Chr.
TI  - Boundary value problems with solutions in convex sets
ST  - Boundary value problems with solutions in convex sets
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2019
VL  - 39
IS  - 1
SP  - 49
EP  - 60
DO  - https://doi.org/10.7494/OpMath.2019.39.1.49
UR  - https://doi.org/10.7494/OpMath.2019.39.1.49
AB  - 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.
KW  - Dirichlet boundary value problems
KW  - solutions in convex sets
KW  - continuation method
KW  - ordered Banach spaces
KW  - concave solutions
SN  - 1232-9274
ER  -