# Optimal estimates from below for Green functions of higher order elliptic operators with variable leading coefficients

```@article{Grunau2021OptimalEF,
title={Optimal estimates from below for Green functions of higher order elliptic operators with variable leading coefficients},
author={Hans-Christoph Grunau},
journal={Archiv der Mathematik},
year={2021}
}```
• H. Grunau
• Published 2021
• Mathematics
• Archiv der Mathematik
Estimates from above and below by the same positive prototype function for suitably modified Green functions in bounded smooth domains under Dirichlet boundary conditions for elliptic operators L of higher order \$\$2m\ge 4\$\$ 2 m ≥ 4 have been shown so far only when the principal part of L is the polyharmonic operator \$\$(-\Delta )^m\$\$ ( - Δ ) m . In the present note, it is shown that such kind of result still holds when the Laplacian is replaced by any second order… Expand
2 Citations
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