期刊文献+

具有奇性的非线性椭圆方程的边值问题 被引量:2

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摘要 本文研究奇异椭圆方程的边值问题.利用变分方法和锥理论中的混合单调方法,证明了奇异方程正解的存在性。
出处 《数学年刊(A辑)》 CSCD 北大核心 2000年第4期427-436,共10页 Chinese Annals of Mathematics
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参考文献17

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同被引文献17

  • 1梁学信.一类半线性抛物型方程组解的blow-up[J].应用数学学报,1997,20(1):146-150. 被引量:1
  • 2叶其孝 李正元.反映扩散方程引论[M].北京:科学出版社,1990..
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  • 4Lazer A C, Mckenna P J. On a singular nonlinear elliptic boundary- value problem [ J]. Proc Am Math Soc, 1991,111:721 -730.
  • 5Lair A V, Shaker A W. Classical and weak solutions of a singular semilinear elliptic problem [ J ]. J Math Anal Appl, 1997,211 : 371 - 385.
  • 6Sun Y J, Wu S P, Long Y M. Combined effects of singular and superlinear non - linearities in some singular boundary value prob- lems[J]. J DiffEqns,2001,176:511-531.
  • 7Yang H T. Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem [ J ]- J Diff Eqns, 2003,189:487 - 512.
  • 8Hirano N, Saccon C, Shioji N. Brezis - Nirenberg type theorems and muhiplieity of positive solutions for a singular elliptic prob- lem [ J ]. J Diff Eqns,2008,245 : 1997 - 2037.
  • 9Sun Y J, Wu S P. An exact estimate result for a class of singular equations with critical exponents[ J]. J Funct Anal 2011,260: 1257 - 1284.
  • 10Boccardo L. A Dirichlet problem with singular and supereritieal nonlinearities [ J ]. Nonlinear Anal,2012,75:4436 -4440.

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