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Keywords:
Martin boundary; biharmonic functions; coupled partial differential equations
Martin boundary; biharmonic functions; coupled partial differential equations
Summary:
In this paper, we study the Martin boundary associated with a harmonic structure given by a coupled partial differential equations system. We give an integral representation for non negative harmonic functions of this structure. In particular, we obtain such results for biharmonic functions (i.e. $\triangle^{2}\varphi =0$) and for non negative solutions of the equation $\triangle^{2}\varphi =\varphi $.
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