On explosive solutions for a class of quasi-linear elliptic equations

TL;DR

This paper investigates the existence, uniqueness, multiplicity, and symmetry of large solutions for a class of quasi-linear elliptic equations, including boundary blow-up rates and effects of boundary curvature.

Contribution

It provides new insights into boundary blow-up behavior and the influence of boundary curvature on solutions of quasi-linear elliptic equations.

Findings

Characterized boundary blow-up rates of solutions.

Analyzed the impact of boundary curvature on solution behavior.

Established conditions for existence and uniqueness of large solutions.

Abstract

We study existence, uniqueness, multiplicity and symmetry of large solutions for a class of quasi-linear elliptic equations. Furthermore, we characterize the boundary blow-up rate of solutions, including the case where the contribution of boundary curvature appears.