Anane, A.Chakrone, O.El Allali, Z.Hadi, Islam Eddine2020-01-082020-01-082001-06-20Anane, A., Chakrone, O., El Allali, Z., & Hadi, I. (2001). A unique continuation property for linear elliptic systems and nonresonance problems. <i>Electronic Journal of Differential Equations, 2001</i>(46), pp. 1-20.1072-6691https://hdl.handle.net/10877/9155The 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 ℝN, by proving the well known unique continuation property for elliptic system in all dimensions: 1, 2, 3, ...and the strict monotonocity of eigensurfaces. These properties let us to consider the above problem as a nonresonance problem.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalUnique continuationEigensurfacesNonresonance problemArticle