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具有奇异系数的发展p-Laplace 方程
引用本文:曾有栋. 具有奇异系数的发展p-Laplace 方程[J]. 数学物理学报(A辑), 2008, 28(4): 649-660
作者姓名:曾有栋
作者单位:福州大学数学与计算机科学学院,福州350002
摘    要:该文考虑Rn内在球中和球面系数均有奇异的发展p-Laplac方程的初边值问题的可解性. 在一定条件下证明了轴对称整体解的存在性和不存在性.

关 键 词:整体解  奇异系数  发展p-Laplace 方程
收稿时间:2006-10-27
修稿时间:2008-03-28

On the Evolution p-Laplacian Equation with Singular Coefficients
Zeng Youdong. On the Evolution p-Laplacian Equation with Singular Coefficients[J]. Acta Mathematica Scientia, 2008, 28(4): 649-660
Authors:Zeng Youdong
Affiliation:(Department of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002)
Abstract:The author considers the solvability of the initial-boundary value problem in an n-ball for the evolution p-Laplacian equation with singular coefficients which are singular not only at the boundary of the n-ball but also at the origin x=0. The existence and nonexistence of global radial solutions are proved under some conditions related to parameters p, τ, λ and q.
Keywords:Global solutionzz  Singular coefficientzz  p-Laplacian equationzz
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