A NONLINEAR PARTIAL DIFFERENTIAL EQUATION RELATED WITH CERTAIN SPACES WITH GENERAL CONNECTIONS(II)

Abstract

From a Minkowski-type metric on $R_{+}^n$ satisfying the Einstein condition, we derive a nonlinear partial differential equation. In order to know the property of its solutions, we obtain an approximate solution with certain boundary conditions numerically by the finite element method, which will give us some clues to get theoretical solutions.