Open AccessExistence of Positive Solution for a Nonlinear Weighted Bi-Harmonic System of Elliptic Partial Differential Equations via Fixed-Point Argument
Author(s) -
Asaduzzamana,
Zulfikar Ali
Publication year - 2020
Publication title -
ganit
Language(s) - English
Resource type - Journals
eISSN - 2224-5111
pISSN - 1606-3694
DOI - 10.3329/ganit.v40i1.48195
Subject(s) - mathematics , fixed point theorem , nonlinear system , fixed point , complement (music) , mathematical analysis , partial differential equation , argument (complex analysis) , pure mathematics , physics , biochemistry , chemistry , quantum mechanics , complementation , gene , phenotype
In this paper, we establish an existence criterion of positive solution for a nonlinear weighted bi-harmonic system of elliptic partial differential equations in the unit ball in Nn ( dimensionaleuclideanspace) The analysis of this paper is based on a topological method (a fixed-point argument). Initially, we establish a priori solution estimates, and then use a fixed-point theorem for deducing the existence of positive solutions. Finally, we prove a non-existence criterion as the complement of existence criterion.
GANIT J. Bangladesh Math. Soc.Vol. 40 (2020) 54-70