RADIAL SOLUTIONS OF A CLASS OF FULLY NONLINEAR ELLIPTIC EQUATIONS

被引：0

作者：

Liu, Yong ^{[1
]}

机构：

[1] North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2012年 / 10卷 / 02期

关键词：

Pucci operator; radial solution; super critical;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The solution of a fully nonlinear elliptic equation involving Pucci maximal operator and super critical nonlinearity is studied. Using ODE analysis, nonexistence of positive radial solutions in the punctured ball with Dirichlet boundary condition is proven. The main tool is Lane-Emden type transformation and an energy functional, which replaces the usual Pohozaev identity. This is a generalization of the classical result about Laplace operator with super critical exponent.

引用

页码：149 / 159

页数：11

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