E. I. Abduragimov, “Uniqueness of Positive Radially Symmetric Solutions of the Dirichlet Problem for a Nonlinear Elliptic System of Second Order”, Mat. Zametki, 2013, Volume 93, Issue 1,Pages <nobr>3

This article is cited in 2 papers

Uniqueness of Positive Radially Symmetric Solutions of the Dirichlet Problem for a Nonlinear Elliptic System of Second Order

E. I. Abduragimov

Daghestan State University

Abstract: We prove the existence and uniqueness of positive radially symmetric solutions of the Dirichlet problem for a nonlinear elliptic system of second order. A numerical method for constructing such solutions is also given.

Keywords: nonlinear elliptic system of second order, radially symmetric function, Dirichlet problem, Cauchy problem, test function, blow-up of global solutions.

UDC: 517.956

Received: 12.07.2011
Revised: 28.07.2011

DOI: 10.4213/mzm9194