Affiliation:
1. School of Mathematical and Informational Sciences Yantai University Yantai Shandong China
2. Department of Mathematics and Statistics Curtin University Perth WA Australia
Abstract
The aim of this paper is to study the existence of extreme solutions and their properties for a general
‐Hessian equation involving a nonlinear operator. By introducing a suitable growth condition and developing a iterative technique, some new results on existence and asymptotic estimates of minimum and maximum solutions are derived. Moreover, we also establish the iterative sequences that converge uniformly to the extreme solutions.
Subject
General Engineering,General Mathematics