吉林大学学报（理学版）2026，Vol.64Issue(1)：37-42,6.DOI:10.13413/j.cnki.jdxblxb.2024433
全空间上具有Hardy项椭圆耦合系统的弱解
Weak Solutions to Elliptic Coupled Systems with Hardy Terms in Whole Space
摘要
Abstract
We considered the existence of weak solutions to elliptic coupled systems with p-Laplace operators and Hardy type singular terms in the whole space RN.New criteria for the existence of at least one and at least two weak solutions were established by using variational methods combined with critical point theorems when the sign-changing nonlinearities satisfied suitable hypotheses.关键词
p-Laplace算子/椭圆耦合系统/Hardy奇异项/全空间RN/弱解Key words
p-Laplace operator/elliptic coupled system/Hardy singular term/whole space RN/weak solution分类
数理科学引用本文复制引用
刘健,Kefi Khaled..全空间上具有Hardy项椭圆耦合系统的弱解[J].吉林大学学报（理学版）,2026,64(1):37-42,6.基金项目
国家自然科学基金(批准号:11571197)、山东省自然科学基金(批准号:ZR2021MA070)和北边界大学科研项目(批准号:NBU-FPEJ-2024-1706-04). （批准号:11571197）
