Positive Solutions of singular semilinear elliptic equation in bounded NTA- Domains

doi:10.1285/i15900932v40n1p57

Positive Solutions of singular semilinear elliptic equation in bounded NTA- Domains

M.A. Ben Boubaker

Abstract

We study the existence, the uniqueness and the sharp estimate of a positive solution of the nonlinear equation

$\text{[math]}$

in a bounded NTA-domain $\Omega$ in $\mathbb{R}^n \; (n\geq 2)$ , when a measurable function $\psi(.,.)$ is continuous and non-increasing with respect to the second variable.

DOI Code: 10.1285/i15900932v40n1p57

Keywords: Green function; superharmonic function; piecewise Dini-smooth bounded Jordan domain; conformal mapping; NTA-domain; Schauder fixed point theorem

Full Text: PDF

This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.

Username
Password
Remember me

Note di Matematica

Positive Solutions of singular semilinear elliptic equation in bounded NTA- Domains

Abstract