Geodesic
A unique continuation property for linear elliptic systems and nonresonance problems
Electronic journal of differential equations, Tome 2001 (2001)
The aim of this paper is to study the existence of solutions for a quasilinear elliptic system where the nonlinear term is a Caratheodory function on a bounded domain of $\mathbb{R}^N$, by proving the well known unique continuation property for elliptic system in all dimensions: 1, 2, 3,$ \dots $and the strict monotonocity of eigensurfaces. These properties let us to consider the above problem as a nonresonance problem.
Classification : 35J05, 35J45, 35J65
Keywords: unique continuation, eigensurfaces, nonresonance problem 
@article{EJDE_2001__2001__a27,
     author = {Anane,  A. and Chakrone,  O. and El Allali,  Z. and Hadi,  I.},
     title = {A unique continuation property for linear elliptic systems and nonresonance problems},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0989.35048},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a27/}
}
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AU  - Hadi,  I.
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JO  - Electronic journal of differential equations
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%A El Allali,  Z.
%A Hadi,  I.
%T A unique continuation property for linear elliptic systems and nonresonance problems
%J Electronic journal of differential equations
%D 2001
%V 2001
%U http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a27/
%G en
%F EJDE_2001__2001__a27
Anane,  A.; Chakrone,  O.; El Allali,  Z.; Hadi,  I. A unique continuation property for linear elliptic systems and nonresonance problems. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a27/