Positive Solution of Extremal Pucci’s Equations with Singular and Sublinear Nonlinearity

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Positive Solution of Extremal Pucci’s Equations with Singular and Sublinear Nonlinearity

Year : 2017

Publisher : Birkhauser Verlag AG

Source Title : Mediterranean Journal of Mathematics

Document Type :

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.