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Nodal Solutions of the p‐Laplacian with Sign‐Changing Weight

Ruyun Ma, Xilan Liu and Jia Xu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We are concerned with determining values of γ, for which there exist nodal solutions of the boundary value problem (|u′|p-2u′)′+γm(t)f(u)=00,1,t∈(), u(0) = u(1) = 0, where m ∈ C[0,1] is a sign‐changing function, f : ℝ → ℝ with f(s)s > 0. The proof of our main results is based upon global bifurcation techniques.

Date: 2013
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https://doi.org/10.1155/2013/406350

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