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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Oscillation criteria for the sublinear Schrödinger equation


Author: Hiroshi Onose
Journal: Proc. Amer. Math. Soc. 85 (1982), 69-72
MSC: Primary 35B05
DOI: https://doi.org/10.1090/S0002-9939-1982-0647900-4
MathSciNet review: 647900
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Abstract: In this paper, we propose an oscillation theorem to the sublinear Emden-Fowler equation $ \Delta u + g(x){u^\gamma } = 0$ for $ n = 2$. By using this, we will answer to the open problem of Noussair and Swanson in the case of bounded solutions.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0647900-4
Keywords: Schrödinger equation, oscillatory, nonoscillatory
Article copyright: © Copyright 1982 American Mathematical Society