Geodesic
Nonoscillation Criteria for Elliptic Equations
Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 275-280

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Sufficient conditions will be derived for the linear elliptic partial differential equation (1) to be nonoscillatory in an unbounded domain R in n-dimensional Euclidean space En. The boundary ∂R of R is supposed to have a piecewise continuous unit normal vector at each point. There is no essential loss of generality in assuming that R contains the origin. Otherwise no special assumptions are needed regarding the shape of R: it is not necessary for R to be quasiconical (as in [2]), quasicylindrical, or quasibounded [1]. 
Swanson, C.A. Nonoscillation Criteria for Elliptic Equations. Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 275-280. doi: 10.4153/CMB-1969-034-4
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     author = {Swanson, C.A.},
     title = {Nonoscillation {Criteria} for {Elliptic} {Equations}},
     journal = {Canadian mathematical bulletin},
     pages = {275--280},
     year = {1969},
     volume = {12},
     number = {3},
     doi = {10.4153/CMB-1969-034-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-034-4/}
}
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