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- W1865221521 abstract "We study the existence, multiplicity, and stability of positive solutions to: u 00 (x) = f (u(x)) for x 2 ( 1; 1); > 0; u( 1) = 0 = u(1); where f : (0;1) ! R is semipositone (f(0) 0, we obtain the exact number of positive solutions as a function of f(t)=t and establish how the positive solution curves to the above problem change. Also, we give examples where our results apply. This work extends the work in (1) by giving a complete classication of positive solutions for concave-convex type nonlinearities. (t) f(t) t2 and (tf 0 (t) f(t)) 0 = tf 00 (t) with f(0) 0 for t 2 (0; t1) ( (t2;1) and (f(t)=t) 0 < 0 for t 2 (t1; t2)" @default.
- W1865221521 created "2016-06-24" @default.
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- W1865221521 date "2001-01-01" @default.
- W1865221521 modified "2023-09-23" @default.
- W1865221521 title "Exact multiplicity of positive solutions in semipositone problems with concave-convex type nonlinearities" @default.
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- W1865221521 doi "https://doi.org/10.14232/ejqtde.2001.1.4" @default.
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