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Existence of solutions to a nonlinear boundary value problem by variational means

โœ Scribed by J.G Graham-Eagle; G.C Wake


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
725 KB
Volume
92
Category
Article
ISSN
0022-247X

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Existence of Solutions of Nonlinear m-Po
โœ Ruyun Ma; Nelson Castaneda ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 97 KB

We study the existence of positive solutions to the boundary-value problem u + a t f u = 0 tโˆˆ 0 1 i=1 a i < 1, and m-2 i=1 b i < 1. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.