[1]黄东兰,陈明玉.带变指标梯度项的p-Laplacian方程正解的爆破[J].集美大学学报(自然科学版),2014,19(6):463-466.
HUANG Dong-lan,CHEN Ming-yu.Blow-up of Solutions to p-Laplacian Equations with Variable Exponents Gradient Term[J].Journal of Jimei University,2014,19(6):463-466.
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带变指标梯度项的p-Laplacian方程正解的爆破()
《集美大学学报(自然科学版)》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
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第19卷
- 期数:
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2014年第6期
- 页码:
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463-466
- 栏目:
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数理科学与信息工程
- 出版日期:
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2014-11-25
文章信息/Info
- Title:
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Blow-up of Solutions to p-Laplacian Equations with Variable Exponents Gradient Term
- 作者:
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黄东兰1; 2; 3; 陈明玉1; 2; 3
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1.泉州师范学院数学与计算机科学学院,福建 泉州 362000;2.福建省大数据管理新技术与知识工程重点实验室,福建 泉州 362000;3.智能计算与信息处理福建省高等学校重点实验室,福建 泉州 362000
- Author(s):
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HUANG Dong-lan1; 2; 3; CHEN Ming-yu1; 2; 3
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1.School of Mathematics and Computer Science,Quanzhou Normal University,Quanzhou 362000,China;2.Fujian Provincial Key Laboratory of Data Intensive Computing,Quanzhou 362000,China;3.Key Laboratory of Intelligent Computing and Information Processing,Fujian Province University,Quanzhou 362000,China
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- 关键词:
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p-Laplacian方程; 变指标; 梯度项; 爆破
- Keywords:
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p-Laplacian equations; variable exponents; gradient term; blow-up
- 分类号:
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- DOI:
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- 文献标志码:
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A
- 摘要:
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研究了RN中一般区域上的带变指标梯度项的p-Laplacian方程正解的爆破性质.通过构造适当的辅助函数,结合对空间区域的细致分析,利用不等式技巧,证明了其正解产生爆破的充分条件.
- Abstract:
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The blow-up of positive solutions for p-Laplacian equations with variable exponents in bounded domain in RN were investigated.By constructing an appropriate auxiliary function,combining with a detailed analysis of the spatial region and using inequality technique,the sufficient conditions for blow-up positive solutions were obtained.
参考文献/References:
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更新日期/Last Update:
2015-01-05