Existence of maximal and minimal weak solutions and finite difference approximations for elliptic systems with nonlinear boundary conditions

We establish the existence of maximal and minimal weak solutions between ordered pairs of weak sub- and super-solutions for a coupled system of elliptic equations with quasimonotone nonlinearities on the boundary. We also formulate a finite difference method to approximate the solutions and est...

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Bibliographic Details
Main Authors: Shalmali Bandyopadhyay, Thomas Lewis, Nsoki Mavinga
Format: Article
Language:English
Published: Texas State University 2025-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2025/43/abstr.html
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