Resumen de Existence of Positive Solutions for a Singular Hessian Equation with a Negative Augmented Term

Xinguang Zhang, Peng Chen, Yonghong Wu, Benchawan Wiwatanapataphee

• In this paper, we focus on the existence of positive solutions for a singular Hessian equation with a negative augmented term. By finding more appropriate upper and lower solutions, we not only overcome the difficulty due to the negative augmented term but also remove a critical condition required in the existing work and establish new results for the existence of positive solutions of the equations under study. Our results improve and complement many existing works.