Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840107 | Nonlinear Analysis: Theory, Methods & Applications | 2013 | 9 Pages |
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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Authors
Guowei Dai, Ruyun Ma,