An Existence Result for a Class of Coupled Polyharmonic Systems

Authors

Zeineb Ben Yahia Higher School of Science and Technology, LR16ES13, University of Sousse, Tunisia https://orcid.org/0000-0001-7094-3707
Zagharide Zine El Abidine Higher School of Science and Technology, LR16ES13, University of Sousse, Tunisia

DOI:

https://doi.org/10.37256/cm.2420211031

Keywords:

positive solutions, Kato class, Green function, nonlinear coupled polyharmonic system, Schauder's fixed point theorem

Abstract

This work deals with the existence of positive continuous solutions for a nonlinear coupled polyharmonic system. Our analysis is based on some potential theory tools, properties of functions in the Kato class K_{m, n}and the Schauder fixed point theorem.

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Published

2021-10-15

Issue

Contemporary Mathematics, Volume 2 Issue 4 (2021), 246-417

Section

Research Article