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本文旨在研究具有Hardy项的拟线性p-Laplacian椭圆型方程组径向解的渐近性。本文运用Hardy-Sobolev不等式、Moser迭代等方法，结合弱解的性质及系列假设条件，对方程组正弱解的渐近行为进行了分析。本文主要的研究结果表明：在不同假设条件下，该类方程组的正弱解在原点附近和无穷远处均具有明确的渐近估计式，即使在半线性情形(p=2)下，所得结论仍具有新意。
Abstract：The aim of this paper is to study the asymptotic behavior of radial solutions of quasilinear p-Laplacian elliptic equations with Hardy term. By employing methods such as the Hardy-Sobolev inequality, and Moser iteration, along with the properties of weak solutions and a series of assumptions, the asymptotic behavior of positive weak solutions of the system of equations is analyzed. The main results show that, under different assumptions, the positive weak solutions of such kind of equations have explicit asymptotic estimates both near the origin and at infinity. Even in the semilinear case(p=2), the conclusions are still innovative.
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DOI：
中图分类号:O175.25
引用信息:
[1]于蕊,樊永红.具有Hardy项的椭圆型方程组解的渐近性[J].山东师范大学学报(自然科学版),2025,40(04):352-367.
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