We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
The extreme solutions for a σ‐Hessian equation with a nonlinear operator.
- Authors
Zhang, Xinguang; Chen, Peng; Wu, Yonghong; Wiwatanapataphee, Benchawan
- 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.
- Subjects
NONLINEAR operators; OPERATOR equations; NONLINEAR equations
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 2, p621
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9673