数学

一个具梯度项的p-Laplace方程弱解的存在性

  • 李仲庆
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  • 州财经大学 数统学院, 贵阳 550025
李仲庆,男,讲师,研究方向为偏微分方程.E-mail:zqli_jlu@163.com.

收稿日期: 2017-09-05

  网络出版日期: 2019-05-30

基金资助

国家自然科学基金(青年科学基金)(11401252);2018年度贵州财经大学引进人才科研启动基金

Existence of weak solutions for a p-Laplace equation with gradient term

  • LI Zhong-qing
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  • School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China

Received date: 2017-09-05

  Online published: 2019-05-30

摘要

研究一个具梯度项的拟线性椭圆方程,其中源项f仅仅位于L1中.借助于方程零阶项系数与右端源项的关系,得到了弱解的先验L估计和弱解的存在性.

本文引用格式

李仲庆 . 一个具梯度项的p-Laplace方程弱解的存在性[J]. 华东师范大学学报(自然科学版), 2019 , 2019(3) : 1 -5 . DOI: 10.3969/j.issn.1000-5641.2019.03.001

Abstract

This paper is devoted to the study of a quasi-linear elliptic equation with gradient term, where the source term f lies in the space L1. Using the relationship between the coefficient of the zero order term and the source term, the a priori L estimate and the existence of weak solutions are obtained.

参考文献

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