一类具加权非线性梯度项的(p_(1),p_(2))-拉普拉斯方程组整体径向解的存在性  

Existence of Entire Positive Solutions for A Class of (p_(1),p_(2))-Laplace Systems with Weighted Nonlinear Gradient Terms

作　　者：韩玉 张志军[1] HAN Yu;ZHANG Zhi-jun(School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China)

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2022年第4期379-384,共6页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(11571295)。

摘　　要：首先构造积分因子,将一类具加权非线性梯度项的(p_(1),p_(2))-拉普拉斯方程组单调递增的整体径向解问题转化成了积分方程组。随后,应用截断方法、单调迭代方法和Arzela-Ascoli定理,结合精巧的估计,证明了在权函数和非线性项满足适当条件下,该系统存在这样的整体解,并给出了解的估计。We firstly transform the monotonically increasing entire radial solutions of a class of(p_(1),p_(2))-Laplace systems with weighted nonlinear terms into an integral systems by structuring an integral factor. Then, by using a truncation method, a monotone iterative method and Arzela-Ascoli theorem, combined with delicate estimates, we show existence of positive nondecreasing entire radial solutions to the(p_(1),p_(2))-Laplace systems under simple conditions on weights and nonlinear terms, and give the estimates of such solutions.

关 键 词：(p_(1) p_(2))-拉普拉斯方程组 整体正径向解 存在性 大解 有界解 

分 类 号：O172.1[理学—数学]