A Liouville-Type Property for Differential Inequalities
(Solved)

Summary: The Liouville theorem asserts that if $f$ is a bounded twice differentiable function defined throughout Euclidean space and such that $\Delta f = 0$, then $f$ is constant. The problem is to prove a Liouville-type property for differential inequalities.

Classification: Primary, differential equations; Secondary, ODE

Vicentiu Radulescu
Center of Nonlinear Analysis and Applications
University of Craiova
200585 Craiova
Romania
e-mail: vicentiu.radulescu@math.cnrs.fr

Fen Qin
Department of Computer Science
Shippensburg University
Shippensburg, PA 17257
e-mail: fqin329@hotmail.com

and

Vicentiu Radulescu
Center of Nonlinear Analysis and Applications
University of Craiova
200585 Craiova
Romania
e-mail: vicentiu.radulescu@math.cnrs.fr

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