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Start Over Topic nonlinear operators Publication Year Range This year Journal mathematical methods in the applied sciences
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1. The extreme solutions for a σ‐Hessian equation with a nonlinear operator.

Author

Zhang, Xinguang, Chen, Peng, Wu, Yonghong, and Wiwatanapataphee, Benchawan

Subjects
*NONLINEAR operators, *OPERATOR equations, *NONLINEAR equations
Abstract

The aim of this paper is to study the existence of extreme solutions and their properties for a general σ$$ \sigma $$‐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. [ABSTRACT FROM AUTHOR]

Published
2024
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