RELATIONSHIP BETWEEN SOLUTIONS TO A QUASILINEAR ELLIPTIC EQUATION IN ORLICZ SPACES

被引：0
|
作者：
Fang, Fei [1 ]
Zhou, Zheng [2 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[2] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Oilicz-Sobolev spaces; quasilinear elliptic equation; viscous solution; VISCOSITY SOLUTIONS; POSITIVE SOLUTIONS; LOCAL MINIMIZERS; MULTIPLICITY; SOBOLEV; EQUIVALENCE; REGULARITY; EXISTENCE; WEAK;
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 consider three types of solutions in Orlicz spaces for the quasilinear elliptic problem -div(a(vertical bar del u vertical bar)del u) = 0. By applying a comparison principle, we establish the relationships between viscosity supersolutions, weak supersolutions, and superharmonic functions.
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页数：10
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