Geodesic
Nonlinear perturbations of systems of partial differential equations with constant coefficients
Electronic journal of differential equations, Tome 2000 (2000)
Zbl   EuDML
In this article, we show the existence of solutions to boundary-value problems, consisting of nonlinear systems of partial differential equations with constant coefficients. For this purpose, we use the right inverse of an associated operator and a fix point argument. As illustrations, we apply this method to Helmholtz equations and to second order systems of elliptic equations.
Classification : 35F30, 35G30, 35E20
Keywords: right inverse, nonlinear differential equations, fixed point theorem 
Vanegas,  C.J. Nonlinear perturbations of systems of partial differential equations with constant coefficients. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a102/
@article{EJDE_2000__2000__a102,
     author = {Vanegas,  C.J.},
     title = {Nonlinear perturbations of systems of partial differential equations with constant coefficients},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0935.35034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a102/}
}
TY  - JOUR
AU  - Vanegas,  C.J.
TI  - Nonlinear perturbations of systems of partial differential equations with constant coefficients
JO  - Electronic journal of differential equations
PY  - 2000
VL  - 2000
UR  - http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a102/
LA  - en
ID  - EJDE_2000__2000__a102
ER  - 
%0 Journal Article
%A Vanegas,  C.J.
%T Nonlinear perturbations of systems of partial differential equations with constant coefficients
%J Electronic journal of differential equations
%D 2000
%V 2000
%U http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a102/
%G en
%F EJDE_2000__2000__a102