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

被引：6

作者：

Tyagi, J. ^{[1
]}

Verma, R. B. ^{[1
]}

机构：

[1] Indian Inst Technol Gandhinagar, Gandhinagar 382355, Gujarat, India

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 04期

关键词：

Pucci's operator; Positive solutions; Singular and sublinear nonlinearity; Viscosity solutions; ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM; EXISTENCE; EIGENVALUES; BOUNDARY;

D O I：

10.1007/s00009-017-0950-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the existence of a positive solution to {-M-lambda,Lambda(+) (D(2)u) = mu k(x)f(u)/u(alpha) - eta h(x)u(q) in Omega u = 0 on partial derivative Omega, where Omega is a smooth bounded domain in R-n, n >= 1. Under certain conditions on k, f and h, 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.

引用

页数：17

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