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多参数加权p-Laplacian奇异Lane-Emden系统
Multi-parameter Weighted p-Laplacian Singular Lane-Emden System
【摘要】 利用单调迭代技巧研究了一类具有p-Laplace算子及奇异非线性项的非线性多参数加权Lane-Emden系统极值解的存在性,获得了该系统临界曲线的估计,以及该系统解的序和参数的序之间的关系.
【Abstract】 Using the monotone iterative technique, this paper studies the existence of extremal solutions for the nonlinear multi-parameter weighted Lane-Emden system involving the p-Laplace operator and the singular nonlinearities.The estimation of the critical curve of the system and the relationship between the order of the solutions and the order of the parameters are obtained.
【关键词】 单调迭代技巧;
p-Laplace算子;
Lane-Emden系统;
临界曲线;
【Key words】 monotonic iterative technique; p-Laplace operator; Lane-Emden system; critical curve;
【Key words】 monotonic iterative technique; p-Laplace operator; Lane-Emden system; critical curve;
【基金】 吉林省自然科学基金项目(20210101156JC);吉林省教育厅科学技术研究项目(JJKH20210030KJ)
- 【文献出处】 北华大学学报(自然科学版) ,Journal of Beihua University(Natural Science) , 编辑部邮箱 ,2022年04期
- 【分类号】O175
- 【下载频次】37