NONLINEAR ELLIPTIC EQUATIONS WITH GENERAL GROWTH IN THE GRADIENT RELATED TO GAUSS MEASURE

被引：0
作者：
Tian, Yujuan [1 ]
Ma, Chao [2 ]
Li, Fengquan [3 ]
机构：
[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
[2] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China
[3] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年
基金：
中国国家自然科学基金;
关键词：
Comparison results; symmetrization; gauss measure; nonlinear elliptic equation; PARABOLIC EQUATIONS; EXISTENCE; SYMMETRIZATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we establish a comparison result through symmetrization for solutions to some problems with general growth in the gradient. This allows to get sharp estimates for the solutions, obtained by comparing them with solutions of simpler problems whose data depend only on the first variable. Furthermore, we use such result to prove the existence of bounded solutions. All the above results are based on the study of a class of nonlinear integral operator of Volterra type.
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页数：16
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