含Hardy位势的非强制拟线性椭圆方程解的存在性

doi:10.6040/j.issn.1671-9352.0.2018.671

《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (10): 24-32.doi: 10.6040/j.issn.1671-9352.0.2018.671

• • 上一篇

含Hardy位势的非强制拟线性椭圆方程解的存在性

夏吾吉毛¹,黄水波^1*,邓德杰²

1.西北民族大学数学与计算机科学学院, 甘肃兰州 730030;2.青海民族大学数学与统计学院, 青海西宁 810000

发布日期:2019-10-12
作者简介:夏吾吉毛(1995— ),女,硕士研究生,研究方向为偏微分方程理论及其应用. E-mail:1838911989@qq.com*通信作者简介:黄水波(1979— ),男,博士,副教授,研究方向为偏微分方程理论及其应用. E-mail:huangshuibo2008@163.com
基金资助:
国家自然科学基金资助项目(11761059);全国民族教育科研一般课题资助项目(ZXYB18019);数学甘肃省重点学科资助项目

Existence of solutions for non-coercivity quasilinear elliptic equations with Hardy potential

XIAWU Ji-mao¹, HUANG Shui-bo^1*, DENG De-jie²

1. School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730000, Gansu, China;
2. School of Mathematics and Statistics, Qinghai Nationalities University, Xining 810000, Qinghai, China

Published:2019-10-12

摘要/Abstract

摘要： 主要研究了一类含Hardy位势和低阶项的非强制拟线性椭圆方程解的存在性和正则性,重点考虑了低阶项的正则化效应和Hardy位势对解的存在性的影响。

关键词: 非强制性, 正则化效应, Hardy 位势, 拟线性椭圆方程

Abstract: This paper studies the existence and regularity of solutions to non-coercivity quasilinear elliptic problems with lower order terms and the Hardy potential, and focuses on the regularizing effect of lower order terms and the influence of the Hardy potential.

Key words: non-coercivity, regularizing effect, Hardy potential, quasilinear elliptic problem

中图分类号:

O175.25

夏吾吉毛,黄水波,邓德杰. 含Hardy位势的非强制拟线性椭圆方程解的存在性[J]. 《山东大学学报(理学版)》, 2019, 54(10): 24-32.

XIAWU Ji-mao, HUANG Shui-bo, DENG De-jie. Existence of solutions for non-coercivity quasilinear elliptic equations with Hardy potential[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(10): 24-32.

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含Hardy位势的非强制拟线性椭圆方程解的存在性

Existence of solutions for non-coercivity quasilinear elliptic equations with Hardy potential

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