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

作　　者：夏吾吉毛 黄水波 邓德杰 XIAWU Ji-mao;HUANG Shui-bo;DENG De-jie(School of Mathematics and Computer Science,Northwest Minzu University,Lanzhou 730000,Gansu,China;School of Mathematics and Statistics,Qinghai Nationalities University,Xining 810000,Qinghai,China)

机构地区：[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

出　　处：《山东大学学报(理学版)》2019年第10期24-32,共9页Journal of Shandong University(Natural Science)

基　　金：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

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。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.

关 键 词：非强制性 正则化效应 HARDY位势 拟线性椭圆方程 

分 类 号：O175.25[理学—数学]