Unilateral global interval bifurcation theorem for p-Laplacian and its applications

2012/07/28 by Dai, Guowei
#34C10 #34C23 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1207.6672

Abstract

In this paper, we establish a unilateral global bifurcation result from interval for a class of p-Laplacian problems. By applying the above result, we study the spectrum of a class of half-quasilinear problems. Moreover, we also investigate the existence of nodal solutions for a class of half-quasilinear eigenvalue problems.

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