Unilateral Global Interval Bifurcation for the Hessian Equation and Its Applications

Wenguo Shen

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-16

Abstract:

In this paper, we establish a unilateral global bifurcation result from the interval for the k -Hessian equations with nondifferentiable nonlinearity. By applying the above result, we shall prove the existence of the principal half-eigenvalues for the half quasilinear problems. Furthermore, we shall determine the interval of γ , in which there exist one-sign solutions for the following k -Hessian equations:

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:2625683

DOI: 10.1155/2020/2625683

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