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一类半线性椭圆型方程解的可去奇点问题 被引量：1

Removable Singularities of the Solution of A Class of Semilinear Elliptic Equations
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摘要 通过建立不同的实验函数以及所需要的截断函数,并运用椭圆型方程的正则性理论,研究了一类半线性椭圆型方程解的可去奇点问题.得到其半线性椭圆型方程分布意义下的解,与一个定义在RN中开子集上的局部Hlder连续函数几乎处处相等的结论. The removable singularities of the solution of a class of semilinear elliptic equations were dealt with. The main result is that the weak solution of the equation coincides with a continuous function of the open subset of RNalmost everywhere.
作者 张仕玉 魏公明
机构地区 上海理工大学理学院
出处 《上海理工大学学报》 CAS 北大核心 2013年第1期37-40,共4页 Journal of University of Shanghai For Science and Technology
关键词 椭圆型方程 奇点 截断函数 elliptic equation singularity truncation function
分类号 O175.2 [理学—基础数学] N94 [自然科学总论—系统科学]
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参考文献9

  • 1Brezis H, Veron L. Removable singularities of some nonlinear elliptic equations [J]. Archive for Rational Mechanics and Analysis, 1980(75) :1 - 6.
  • 2VazquezJ L, Veron L. Removable singularities of some strongly nonlinear elliptic equations [J]. Manscripta Math, 1980(33) : 129 - 144.
  • 3Cirstea F C, Du Y H. Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity[J]. Journal of Functional Analysis, 2007 (250) :317 - 346.
  • 4Cirstea F C, Du Y H. Isolated singularities for weighted qua-silinear elliptic equations[J]. Journal of Functional Analysis, 2010 (259) : 174 - 202.
  • 5Mamedov F I, Harman A. On the removablity of isolated singular points for degenerating nonlinear elliptic equations [J]. Nonlinear Analysis, 2009 ( 71 ) : 6290 - 6298.
  • 6Bidaut M F, Ponce A C, Veron L. Isolated boundary singularities of semitinear elliptic equations [J]. Calculus of Variations and Partial Differential Equations,2011 (40) : 183 - 221.
  • 7Brezis H, Nirenberg L. Removable singularities for nonlinear elliptic equations[J]. Topological Methods in Nonlinear Analysis, 1997(9) : 201 - 219.
  • 8Del P M, Musso M, Pacard F. Boundary singularities for weak solutions of semilinear elliptic problems[J]. Journal of Functional Analysis, 2007 (253) : 241 - 272.
  • 9SerrinJ. Local behaviour of solutions of quasilinear equations[J]. Acta Mathematica, 1964 (111) : 247 - 302.

同被引文献7

  • 1Gazzola F, Grunau H C, Sweers G. Polyharmonic Boundary Value Problems[M]. Heidelberg: Springer, 2010.
  • 2Lu Guozhen, Wang Peiyong, Zhu Jiuyi. Liouville-type theorems and decay estimates for solutions to higherorder elliptic equations[J]. Ann I H Poincarfi-AN, 2012, 29(5) :653 - 665.
  • 3Soranzo R. Isolated singularities of positive solutions of a superlinear biharmonic equation [J]. Potential Analysis, 1997,6(1) :57 - 85.
  • 4Hsu S Y. Removable singularity of the polyharmonic equation [ J]. Nonlinear Analysis, 2010, 72 ( 2 ) : 624 - 627.
  • 5GherguM, Moradifam A, Taliaferro S D. Isolated singularities of polyharmonic inequalities[J]. Journal of Functional Analysis, 2011,261 (3) .. 660 - 680.
  • 6Mamedov F I, Harmana A. On the removability of isolated singular points for degenerating nonlinear elliptic equations[J]. Nonlinear Analysis, 2009,71 (12) 6290 - 6298.
  • 7褚后利,魏公明.一类超线性Dirichlet问题无穷多个径向对称解的存在性[J].上海理工大学学报,2013,35(2):121-125. 被引量：1

引证文献1

上海理工大学学报
2013年 第1期

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