Displaying similar documents to “Uniqueness for positive solutions of p -Laplacian problem in an annulus”

On the uniqueness of positive solutions for two-point boundary value problems of Emden-Fowler differential equations

Satoshi Tanaka (2010)

Mathematica Bohemica

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The two-point boundary value problem u ' ' + h ( x ) u p = 0 , a < x < b , u ( a ) = u ( b ) = 0 is considered, where p > 1 , h C 1 [ 0 , 1 ] and h ( x ) > 0 for a x b . The existence of positive solutions is well-known. Several sufficient conditions have been obtained for the uniqueness of positive solutions. On the other hand, a non-uniqueness example was given by Moore and Nehari in 1959. In this paper, new uniqueness results are presented.