Maximal and minimal weak solutions for elliptic problems with nonlinearity on the boundary

Maximal and minimal weak solutions for elliptic problems with nonlinearity on the boundary

This paper deals with the existence of weak solutions for semilinear elliptic equation with nonlinearity on the boundary. We establish the existence of a maximal and a minimal weak solution between an ordered pair of sub- and supersolution for both monotone and nonmonotone nonlinearities. We use ite...

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Bibliographic Details
Main Authors: S. Bandyopadhyay, M. Chhetri, B. B. Delgado, N. Mavinga, R. Pardo
Format: Article
Language:English
Published: AIMS Press 2022-04-01
Series:Electronic Research Archive
Subjects:
elliptic problem
nonlinear boundary conditions
maximal and minimal weak solution
pseudomonotone operator
kato's inequality
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022107?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/era.2022107?viewType=HTML

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