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具非标准增长条件和正初始能量p-Laplace方程解的爆破 被引量：1

The Blow-up of Solutions for p-Laplace Equations with Variable Source and Positive Initial Energy
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摘要 研究了源项函数为uq(x)的p-Laplace方程解在有限时刻爆破.通过构造恰当能量泛函方法,证明当源项函数指标在更大范围内且初始能量为正数时,p-Laplace方程解在有限时刻爆破. In this paper,the blow up of solutions for p-Laplace equations with source function uq（x） in finite time was investigated ,and the sloutions blow up for p-Laplace equations in finite time with the positive initial energy was proved when the scope of source term exponent was bigger by constructing energy functions .
作者 吴秀兰 朱宏 徐洪爽 徐英楠
机构地区 吉林师范大学数学学院 吉林师范大学计算机学院
出处 《吉林师范大学学报（自然科学版）》 2015年第3期65-68,共4页 Journal of Jilin Normal University:Natural Science Edition
基金 吉林师范大学大学生创新创业训练计划项目(2015)
关键词 P-LAPLACE方程 变指数 正初始能量 解爆破 p-Laplace equatios Variable exponents Positive initial energy Blow-up solutions
分类号 O175 [理学—基础数学]
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参考文献5

  • 1R. Ferreira,A. de Pablo, M. Perez-LIanos, et al. Critical exponents for a semilinear parabolic equation with variable reaction [ J ]. Proceeding of Royal Society of Edinburgh,2012 (142A) :1027 - 1042.
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二级参考文献10

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吉林师范大学学报（自然科学版）
2015年 第3期

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