Global Bifurcation from Intervals for Problems with Pucci's Operator

  • Hua Luo

    Shanghai International Studies University, China
  • Guowei Dai

    Dalian University of Technology, China
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Abstract

We study global bifurcation from intervals for the following fully nonlinear elliptic problem with Pucci's operator

where is not necessarily differentiable at the origin or infinity with respect to . Furthermore, under some suitable assumptions on nonlinearity, we investigate the global structure of bifurcating branches, which can be used to obtain the existence of one-sign solution.

Cite this article

Hua Luo, Guowei Dai, Global Bifurcation from Intervals for Problems with Pucci's Operator. Z. Anal. Anwend. 39 (2020), no. 1, pp. 67–81

DOI 10.4171/ZAA/1651