Article ID Journal Published Year Pages File Type
840107 Nonlinear Analysis: Theory, Methods & Applications 2013 9 Pages PDF
Abstract

In this paper, we shall establish the unilateral global bifurcation result from an interval for a class of high-dimensional pp-Laplacian problems. As an application of the above result, we shall prove the existence of the principal half-eigenvalues for a class of half-quasilinear eigenvalue problems. Our result partially answers the open problem proposed by Berestycki. Moreover, we shall investigate the existence of one-sign solutions for a class of high-dimensional pp-Laplacian problems with non-p−p−1-homogeneous nonlinearities.

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