# The critical semilinear elliptic equation with isolated boundary singularities

## TL;DR

This paper analyzes the asymptotic behavior of nonnegative solutions to a critical semilinear elliptic equation with isolated boundary singularities, providing quantitative insights into their boundary behavior.

## Contribution

It introduces new quantitative asymptotic estimates for solutions near boundary singularities in critical semilinear elliptic equations.

## Key findings

- Established precise asymptotic behaviors near boundary singularities
- Derived bounds for solutions in critical cases
- Enhanced understanding of boundary singularity effects

## Abstract

We establish quantitative asymptotic behaviors for nonnegative solutions of the critical semilinear equation $-\Delta u=u^{\frac{n+2}{n-2}}$ with isolated boundary singularities, where $n\ge 3$ is the dimension.