全空间上具有Hardy项椭圆耦合系统的弱解OA
Weak Solutions to Elliptic Coupled Systems with Hardy Terms in Whole Space
在全空间RN中考虑具有p-Laplace算子和Hardy型奇异项的椭圆耦合系统弱解的存在性,在可变号非线性项满足合适的假设条件下,利用变分法结合临界点定理确立了至少一个和至少两个弱解存在性的新准则.
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.
刘健;Kefi Khaled
山东财经大学统计与数学学院,济南 250014北边界大学科学研究与创业中心,沙特阿拉伯阿拉尔73213
数理科学
p-Laplace算子椭圆耦合系统Hardy奇异项全空间RN弱解
p-Laplace operatorelliptic coupled systemHardy singular termwhole space RNweak solution
《吉林大学学报（理学版）》 2026 (1)
37-42,6
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).
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