On the oscillation of semilinear elliptic differential equations
by Zhiting Xu  

Vol. 3 No. 2 (2008) P.265~P.280

ABSTRACT

Some oscillation criteria for the second order semilinear elliptic differential equation
$\sum^n_{i,j=1} D_i[A_{i,j}(x,y)D_{i}y + B(x,y) = 0 $
are obtained. Generalized Riccati transformation and weighted averaging technique are employed to established our results.

KEYWORDS
Oscillation, semilinear elliptic differential equations, generalized partial Riccati transformation, weighted averaging technique

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35B06, 35J60, 34C10

MILESTONES

Received: 2006-12-23
Revised : 2007-07-06
Accepted:

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