A class of Hessian quotient equations in the warped product manifold

Abstract

In this paper, we consider a class of Hessian quotient equations in the warped product manifold $\overline{M}=I{\times }_{\lambda }M$. Under some sufficient conditions, we obtain an existence result for the star-shaped compact hypersurface $\Sigma$ in $\overline{M}$ using standard degree theory based on a priori estimates for solutions to the Hessian quotient equations.

arXiv admin note: text overlap with arXiv:2004.12066

References in corpus (1)

• Curvature estimates for a class of Hessian type equations