On the Green function of the annulus
Massimo Grossi, Djordjije Vujadinovic
TL;DR
This paper derives representation formulas for the Green function in an annulus using Gegenbauer polynomials and zonal harmonics, and applies these to establish uniqueness results for certain nonlinear elliptic problems.
Contribution
It introduces new representation formulas for the Green function in the annulus and demonstrates their application to nonlinear elliptic problem uniqueness.
Findings
Representation formulas for the Green function in the annulus.
Uniqueness results for nonlinear elliptic problems.
Application of Gegenbauer polynomials and zonal harmonics.
Abstract
Using the Gegenbauer polynomials and the zonal harmonics functions we give some representation formula of the Green function in the annulus. We apply this result to prove some uniqueness results for some nonlinear elliptic problems.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Numerical methods in inverse problems · Advanced Mathematical Modeling in Engineering