# Evans-Selberg potential on planar domains

## TL;DR

This paper derives explicit formulas for Evans kernels, Evans-Selberg potentials, and fundamental metrics on certain planar domains that are potential-theoretically parabolic, enhancing understanding of their geometric and potential-theoretic properties.

## Contribution

It introduces explicit formulas for Evans kernels and related potentials on parabolic planar domains, advancing the analytical tools available in potential theory.

## Key findings

- Explicit formulas for Evans kernels on parabolic domains
- New expressions for Evans-Selberg potentials
- Enhanced understanding of fundamental metrics in potential theory

## Abstract

We provide explicit formulas of Evans kernels, Evans-Selberg potentials and fundamental metrics on potential-theoretically parabolic planar domains.