0 N ov 2 01 5 Bifurcation and one - sign solutions of the p - Laplacian involving a nonlinearity with zeros ∗

نویسنده

  • Guowei Dai
چکیده

In this paper, we use bifurcation method to investigate the existence and multiplicity of one-sign solutions of the p-Laplacian involving a linear/superlinear nonlinearity with zeros. To do this, we first establish a bifurcation theorem from infinity for nonlinear operator equation with homogeneous operator. To deal with the superlinear case, we establish several topological results involving superior limit.

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تاریخ انتشار 2015