Geodesic
Existence of solutions for a system of elliptic partial differential equations
Electronic journal of differential equations, Tome 2011 (2011)
In this article, we establish the existence of radial solutions for a system of nonlinear elliptic partial differential equations with Dirichlet boundary conditions. Also we discuss the question of uniqueness, and illustrate our results with examples.
Classification : 35J57, 34B18
Keywords: nonlinear systems, shooting method, positive radial solutions 
@article{EJDE_2011__2011__a29,
     author = {Dalmasso,  Robert},
     title = {Existence of solutions for a system of elliptic partial differential equations},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1221.35138},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a29/}
}
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Dalmasso,  Robert. Existence of solutions for a system of elliptic partial differential equations. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a29/