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.

引用

页码：261 / 279

页数：19

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