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On radial limit functions for entire solutions of second order elliptic equations in R.

André BoivinPeter V. Paramonov — 1998

Publicacions Matemàtiques

Given a homogeneous elliptic partial differential operator L of order two with constant complex coefficients in R2, we consider entire solutions of the equation Lu = 0 for which limr→∞ u(re) =: U(e) exists for all φ ∈ [0; 2π) as a finite limit in C. We characterize the possible "radial limit functions" U. This is an analog of the work of A. Roth for entire holomorphic functions. The results...

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