Maximum principle for the fractional N-Laplacian flow

被引：0
|
作者：
Choi, Q-Heung [1 ]
Jung, Tacksun [2 ]
机构：
[1] Inha Univ, Dept Math Educ, Incheon 402751, South Korea
[2] Kunsan Natl Univ, Dept Math, Kunsan 573701, South Korea
来源：
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 21卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Fractional N-Laplacian heat flow; Difference fractional N-Laplacian operators; Young function; N-function; Orlicz space; Orlicz-Sobolev space; approximation method; approximating weak solution; DIFFERENTIAL-OPERATORS; SOBOLEV; CONVERGENCE; FUNCTIONALS; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We deal with a family of the fractional N-Laplacian heat flows with variable exponent time-derivative on the Orlicz-Sobolev spaces. We get the maximum principle for these problems. We use the approximating method to get this result: We first show existence of a unique family of the approximating weak solutions from the variable exponent difference fractional N-Laplacian problems. We next show the maximum principle for the family of the approximating weak solution from the variable exponent difference fractional N-Laplacian problem, show the convergence of a family of the approximating weak solutions to the limits, and then obtain the maximum principle for the weak solution of a family of the fractional N-Laplacian heat flows with the variable exponent time-derivative on the Orlicz-Sobolev spaces.
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页码：261 / 279
页数：19
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