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Oscillation criteria of Nehari-type for the Schrödinger equation

✍ Scribed by E. Müller-pfeiffer

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
349 KB
Volume
96
Category
Article
ISSN
0025-584X

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✦ Synopsis

In the following, criteria will be obtained for the differential equation to be oscillatory a t x = 00 or x = 0. We assume that the potential q(x) is a real-valued and continuous function on Rn \ [ O ) . A bounded domain G 2 Itn is said to be a nodal domain of equation (1) if there exists a non-trivial solution of (1) which belongs to w L " m " W G ) .

W.&,,.(G)

is a SOBOLEV space ; it contains all (complex-valued) functions, the generalized derivatives of which up to order two are 2-sunmiable on every compact subdomain of G.

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