| 一类p-Laplace方程非局部边值问题解的性态研究 |
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| 引用本文： | 付美美,谢君辉.一类p-Laplace方程非局部边值问题解的性态研究[J].应用数学,2019,32(4):860-864. |
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| 作者姓名： | 付美美 谢君辉 |
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| 作者单位： | 湖北民族大学理学院, 湖北 恩施 445000 |
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| 基金项目： | 国家自然科学基金(11761030);湖北省自然科学基金(2017CFB352);湖北民族学院博士科研启动基金(MY2013B019) |
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| 摘 要： | 本文研究一类具非局部边值条件的p-Laplace抛物型方程解的性态.利用抛物型方程的上下解方法和一些基本理论,得到该问题解的整体存在性,有限时刻爆破以及爆破速率的估计等结论.
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| 关 键 词： | P-LAPLACE方程 整体存在性 有限时刻爆破 爆破速率 |
On Solutions for a Class of p-Laplace Equation with Nonlocal Boundary Condition |
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| FU Meimei,XIE Junhui.On Solutions for a Class of p-Laplace Equation with Nonlocal Boundary Condition[J].Mathematica Applicata,2019,32(4):860-864. |
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| Authors: | FU Meimei XIE Junhui |
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| Institution: | (College of Science, Hubei Minzu University, Enshi 445000, China) |
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| Abstract: | In this article, we study a class of p-Laplace parabolic equation with nonlocal boundary condition. By the method of upper and lower solutions of parabolic equation and some basic theory of parabolic equations, we prove the global existence of solution, blow up in nite time as well as the rate of blow up. |
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| Keywords: | p-Laplace equation Global existence Blow up in nite time The rate of blow up |
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