Nonexistence results for semilinear systems in unbounded domains

This paper concerns the non-existence of nontrivial solutions for the semi-linear system of gradient type $$displaylines{ lambda frac{partial ^{2}u_{k}}{partial t^{2}} -sum_{i=1}^n frac{partial }{partial x_{i}}(p_{i}(x)frac{ partial u_{k}}{partial x_{i}})+f_{k}(x,u_{1},dots ,u_{m}) =0quad ext{in }O...

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Bibliographic Details
Main Authors: Abdelkrim Moussaoui, Brahim Khodja
Format: Article
Language:English
Published: Texas State University 2009-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/02/abstr.html