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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