×

Criteria for oscillation and nonoscillation for elliptic equations. (English. Russian original) Zbl 0574.35030

Differ. Equations 21, 104-113 (1985); translation from Differ. Uravn. 21, No. 1, 130-140 (1985).
The author studies the equation \[ Lu=(-\Delta)^ mu+a(x)u=0,\quad x=(x_ 1,x_ 2,...,x_ n)\in R^ n \] where a is a measurable and locally bounded function and proves general oscillation and nonoscillation theorems, which contain as particular cases some known criteria of other authors.
Reviewer: A.Haimovici

MSC:

35J30 Higher-order elliptic equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs
PDFBibTeX XMLCite