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Zbl 0574.35030
Toraev, A.
Criteria for oscillation and nonoscillation for elliptic equations. (English. Russian original)
[J] Differ. Equations 21, 104-113 (1985); translation from Differ. Uravn. 21, No.1, 130-140 (1985). ISSN 0012-2661

The author studies the equation $$ Lu=(-\Delta)\sp mu+a(x)u=0,\quad x=(x\sb 1,x\sb 2,...,x\sb n)\in R\sp n $$ 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.
[A.Haimovici]

MSC 2000:: *35J30 Higher order elliptic equations, general
35B05 General behavior of solutions of PDE
35B40 Asymptotic behavior of solutions of PDE

Keywords: oscillation; nonoscillation

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