Existence of bounded weak solutions to a p -Laplace equation with source term in L<sup>1</sup>

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Existence of bounded weak solutions to a p -Laplace equation with source term in L¹

更新时间：2023-12-11

- Existence of bounded weak solutions to a p -Laplace equation with source term in L¹
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 57, Issue 2, Pages: 66-68(2018)
- 作者机构：
  
  吉林师范大学数学学院,吉林,四平,136000
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2018，
  
  Published Online：25 March 2018，
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LI Zhongqing. Existence of bounded weak solutions to a p -Laplace equation with source term in L¹. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(2):66-68(2018)
DOI：

LI Zhongqing. Existence of bounded weak solutions to a p -Laplace equation with source term in L¹. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(2):66-68(2018) DOI：

摘要

研究一个 p-Laplace方程弱解存在性问题

方程主要的特征是源项f仅仅位于L

中。借助于方程低阶项系数与右端源项的正则化效应

证明了弱解的先验L

∞

估计。利用一致L

∞

界

最终得到了弱解的存在性。

Abstract

The existence of solutions to a p-Laplace equation is studied. The source term f only lies in L

which is the main feature of the problem. With the help of the regularizing effect between the coefficient of the lower order term and the source term

a priori L

∞

regularity for its weak solutions is proved. B-y the uniform L

∞

bound

the existence of weak solutions is obtained.

关键词

p -Laplace方程L1数据有界弱解

Keywords

p-Laplace equationsL1datumbounded weak solutions

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Existence of bounded weak solutions to a p -Laplace equation with source term in L1

DOI：

摘要

Abstract

关键词

Keywords

references

Existence of bounded weak solutions to a p -Laplace equation with source term in L¹