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Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems

Ruyun Ma, Yanqiong Lu and Ruipeng Chen

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We are concerned with determining values of λ, for which there exist positive solutions of the nonlinear elliptic problem −Δu = λa(x)f(u) in Ω, ∂u/∂n + b(x)g(u) = 0 on ∂Ω. The proof of our main results is based upon unilateral global bifurcation theorem of López‐Gómez.

Date: 2014
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https://doi.org/10.1155/2014/749368

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