一类无穷拉普拉斯方程边界爆破解的渐近行为
Boundary Behavior of Blow-Up Solutions to Infinity-Laplacian Equation
DOI: 10.12677/PM.2017.75050, PDF, HTML, XML, 下载: 1,376  浏览: 3,910  科研立项经费支持
作者: 王绪滕, 许 敏, 任秋芳, 张庆庆, 宓 玲*：临沂大学数学与统计学院，山东 临沂
关键词: 无穷拉普拉斯方程；爆破解；边界渐近行为；Infinity-Laplacian Equation； Blow-Up Solutions； Boundary Behavior
摘要: 基于Karamata正规变化理论，采用上下解的方法，本文主要考虑了当非线性项f和权函数b满足适当的条件时，一类无穷拉普拉斯方程边界爆破问题 (其中Ω是RN中具有光滑边界的有界区域)的解在区域边界附近的精确渐近行为。
Abstract: In this paper, by upper-lower solution method, under suitable conditions on general nonlinearities f and weight functions b, we consider the exact boundary behavior of solutions to boundary blow-up elliptic problems , where Ω is a bounded domain with smooth boundary in RN . Our analysis is based on Karamata regular variation theory.
文章引用：王绪滕, 许敏, 任秋芳, 张庆庆, 宓玲. 一类无穷拉普拉斯方程边界爆破解的渐近行为[J]. 理论数学, 2017, 7(5): 386-395. https://doi.org/10.12677/PM.2017.75050

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