Vol. 204, No. 1, 2002

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Tomomitsu Teramoto & Hiroyuki Usami

Abstract

This paper treats the second order semilinear elliptic systems of the form

Δu = p(x)vα, Δv = q(x)uβ, x  in  RN ,

where α, β > 0 are constants satisfying αβ > 1, and p,q in C(RN;(0,)). We obtain a Liouville type theorem for nonnegative entire solutions of this system.

Authors
Tomomitsu Teramoto
Department of Mathematics
Faculty of Science
Hiroshima University
Higashi-Hiroshima 739-8526
Japan
Hiroyuki Usami
Department of Mathematics
Faculty of Integrated Arts and Sciences
Hiroshima University
Higashi-Hiroshima 739-8521
Japan