On nonnegative entire solutions of second-order semilinear elliptic systems
Date
2003-09-09
Authors
Teramoto, Tomomitsu
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We consider the second-order semilinear elliptic system
∆ui = Pi(x) uαii+1 in ℝN, i = 1, 2, ..., m
with nonnegative continuous functions Pi. We establish nonexistence criteria of nonnegative nontrivial entire solutions for this system. We also proved a Liouville type theorem for nonnegative entire solutions.
Description
Keywords
Elliptic systems, Nonnegative entire solutions
Citation
Teramoto, T. (2003). On nonnegative entire solutions of second-order semilinear elliptic systems. <i>Electronic Journal of Differential Equations, 2003</i>(94), pp. 1-22.
Rights
Attribution 4.0 International