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

Voir la notice de l'article provenant de la source Cambridge University Press

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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