Positive Solution of Extremal Pucci’s Equations with Singular and Sublinear Nonlinearity
Source
Mediterranean Journal of Mathematics
ISSN
16605446
Date Issued
2017-08-01
Author(s)
Verma, R. B.
Abstract
In this paper, we establish the existence of a positive solution to(Formula presented.)where Ω is a smooth bounded domain in Rn,n≥1. Under certain conditions on k,fandh, using viscosity sub- and super solution method with the aid of comparison principle, we establish the existence of a unique positive viscosity solution. This work extends and complements the earlier works on semilinear and singular elliptic equations with sublinear nonlinearity.
Subjects
Positive solutions | Pucci’s operator | Singular and sublinear nonlinearity | Viscosity solutions
