Toraev, A. 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 Cited in 1 Document 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 Keywords:oscillation; nonoscillation PDFBibTeX XMLCite \textit{A. Toraev}, Differ. Equations 21, 104--113 (1985; Zbl 0574.35030); translation from Differ. Uravn. 21, No. 1, 130--140 (1985)