Geodesic
Existence of solutions for discontinuous functional equations and elliptic boundary-value problems
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We prove existence results for discontinuous functional equations in general $L^p$-spaces and apply these results to the solvability of implicit and explicit elliptic boundary-value problems involving discontinuous nonlinearities. The main tool in the proof is a fixed point result in lattice-ordered Banach spaces proved by the second author.
Classification : 35J65, 35R05, 35R10
Keywords: functional equations, elliptic boundary-value problems, discontinuous nonlinearities 
@article{EJDE_2002__2002__a92,
     author = {Carl, Siegfried and Heikkil\"a, Seppo},
     title = {Existence of solutions for discontinuous functional equations and elliptic boundary-value problems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a92/}
}
TY  - JOUR
AU  - Carl, Siegfried
AU  - Heikkilä, Seppo
TI  - Existence of solutions for discontinuous functional equations and elliptic boundary-value problems
JO  - Electronic Journal of Differential Equations
PY  - 2002
VL  - 2002
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a92/
LA  - en
ID  - EJDE_2002__2002__a92
ER  - 
%0 Journal Article
%A Carl, Siegfried
%A Heikkilä, Seppo
%T Existence of solutions for discontinuous functional equations and elliptic boundary-value problems
%J Electronic Journal of Differential Equations
%D 2002
%V 2002
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a92/
%G en
%F EJDE_2002__2002__a92
Carl, Siegfried; Heikkilä, Seppo. Existence of solutions for discontinuous functional equations and elliptic boundary-value problems. Electronic Journal of Differential Equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a92/