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《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (6): 75-80.doi: 10.6040/j.issn.1671-9352.0.2018.496

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带有Hardy项的奇异p-重调和方程正解的唯一性

桑彦彬,陈娟,任艳   

  1. 中北大学理学院数学系, 山西 太原 030051
  • 发布日期:2019-06-05
  • 作者简介:桑彦彬(1979— ),男,博士,副教授,研究方向为非线性微分方程. E-mail:sangyanbin@126.com
  • 基金资助:
    山西省自然科学基金资助项目(201601D011003)

Uniqueness of positive solutions of singular p-biharmonic equations with Hardy terms

  1. School of Science, North University of China, Taiyuan 030051, Shanxi, China
  • Published:2019-06-05

摘要: 研究了一类带有Hardy项的奇异p-重调和方程,运用极小化方法获得了该问题正解的存在唯一性。

关键词: Hardy项, 奇异p-重调和方程, 极小化方法, 正解, 存在唯一性

Abstract: We study a class of singular p-biharmonic equations with Hardy terms. The existence and uniqueness of the positive solution for above problem is obtained by minimization method.

Key words: Hardy terms, singular p-biharmonic equations, minimization method, positive solution, existence and uniqueness

中图分类号: 

  • O175.25
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