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Journal of Inequalities and Applications

, 2013:577

First Online: 11 December 2013Received: 04 February 2013Accepted: 19 November 2013


In this paper, we establish a Dancer-type unilateral global bifurcation theorem for the one-dimensional p-Laplacian with a singular weight which may not be in L 1 . As the applications of this theorem, we prove the existence of nodal solutions for p-Laplacian with f 0 ∈ 0 , + ∞ or f ∞ ∈ 0 , + ∞ , where f s - | s | p − 2 s approaches f 0 and f ∞ as s approaches 0 and ∞, respectively.

MSC: 34B16, 34C10, 34C23.

Keywordsunilateral bifurcation nodal solutions singular weight  Download fulltext PDF

Autor: Xin Liao - Guowei Dai

Fuente: https://link.springer.com/

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