# Boundary Schwarz lemma for solutions to non-homogeneous biharmonic   equations

**Authors:** Manas Ranjan Mohapatra, Xiantao Wang, and Jian-Feng Zhu

arXiv: 1906.08151 · 2019-06-20

## TL;DR

This paper proves a boundary Schwarz lemma for solutions to non-homogeneous biharmonic equations, extending classical results to more complex differential equations with boundary conditions.

## Contribution

It introduces a boundary Schwarz lemma specifically for non-homogeneous biharmonic equations, a novel extension in the field of complex analysis and partial differential equations.

## Key findings

- Established a boundary Schwarz lemma for non-homogeneous biharmonic solutions
- Extended classical Schwarz lemma results to higher-order PDEs
- Provided new boundary behavior estimates for biharmonic solutions

## Abstract

In this paper, we establish a boundary Schwarz lemma for solutions to non-homogeneous biharmonic equations.

## Full text

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## References

17 references — full list in the complete paper: https://tomesphere.com/paper/1906.08151/full.md

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Source: https://tomesphere.com/paper/1906.08151