Existence of Positive Solution for a Nonlinear Weighted Bi-Harmonic System of Elliptic Partial Differential Equations via Fixed-Point Argument

Authors

  • - Md Asaduzzamana Department of Mathematics, Islamic University, Kushtia-7003, Bangladesh
  • Md Zulfikar Ali Department of Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh

DOI:

https://doi.org/10.3329/ganit.v40i1.48195

Keywords:

Nonlinear weighted bi-harmonic system of elliptic partial differential equations; Priori solution estimates; Fixed-point argument;

Abstract

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

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Published

2020-07-14

How to Cite

Md Asaduzzamana, .-., & Ali, M. Z. (2020). Existence of Positive Solution for a Nonlinear Weighted Bi-Harmonic System of Elliptic Partial Differential Equations via Fixed-Point Argument. GANIT: Journal of Bangladesh Mathematical Society, 40(1), 54–70. https://doi.org/10.3329/ganit.v40i1.48195

Issue

Vol. 40 No. 1 (2020)

Section

Articles

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The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)