JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (10): 24-32.doi: 10.6040/j.issn.1671-9352.0.2018.671

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

XIAWU Ji-mao1, HUANG Shui-bo1*, DENG De-jie2   

  1. 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

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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

CLC Number: 

  • O175.25
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