Geodesic
Oscillation Criteria for a Class of Perturbed Schrödinger Equations
Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 71-77

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We are concerned with the oscillatory behavior of the second order elliptic equation 1 where Δ is the Laplace operator in n-dimensional Euclidean space R n, E is an exterior domain in R n, and c:E × R → R and f:E → R are continuous functions.A function v : E − R is called oscillatory in E if v(x) has arbitrarily large zeros, that is, the set {x ∈ E : v(x) = 0} is unbounded. For brevity, we say that equation (1) is oscillatory in E if every solution u ∈ C 2(E) of (1) is oscillatory in E. 
Kusano, Takaŝi; Naito, Manabu. Oscillation Criteria for a Class of Perturbed Schrödinger Equations. Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 71-77. doi: 10.4153/CMB-1982-010-3
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     author = {Kusano, Taka\^{s}i and Naito, Manabu},
     title = {Oscillation {Criteria} for a {Class} of {Perturbed} {Schr\"odinger} {Equations}},
     journal = {Canadian mathematical bulletin},
     pages = {71--77},
     year = {1982},
     volume = {25},
     number = {1},
     doi = {10.4153/CMB-1982-010-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-010-3/}
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