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


Abstract


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

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