A Unique Continuation Property for Linear Elliptic Systems and Nonresonance Problems
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Date
2001-06-20
Authors
Anane, A.
Chakrone, O.
El Allali, Z.
Hadi, Islam Eddine
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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 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.
Description
Keywords
Unique continuation, Eigensurfaces, Nonresonance problem
Citation
Anane, A., Chakrone, O., El Allali, Z., & Hadi, I. E. (2001). A unique continuation property for linear elliptic systems and nonresonance problems. <i>Electronic Journal of Differential Equations, 2001</i>(46), pp. 1-20.
Rights
Attribution 4.0 International