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一类奇异半线性椭圆方程解的存在性的注记 被引量：1

A Remark on the Existence of Soulutions for a Class of Singular Semilinear Elliptic Equation
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摘要 运用极小作用原理获得了奇异半线性椭圆问题:-△u=u-γ+g(x,u),x∈Ω;u=0,c∈Ω的一个存在性结果,其中ΩRn(n≥3)是一个有界区域,γ是正常数. An existence result is obtained for the solution of the singular semilinear elliptic Dirichlet boundary value problem-u=u^-γ＋g（x,u） in Ω,u0 in Ω,u=0 on Ω,by the least action principle,where ΩRn（n≥3） is a bounded domain and γ0 is a constant.
作者 廖家锋 薛艳蚄
机构地区 遵义师范学院数学系 信阳师范学院数学与信息科学学院
出处 《信阳师范学院学报（自然科学版）》 CAS 2010年第1期19-22,共4页 Journal of Xinyang Normal University(Natural Science Edition)
基金 贵州省教育厅自然科学基金资助项目(黔教科2008067)
关键词 奇异半线性椭圆方程 极小作用原理 临界点 singular semilinear elliptic equations least action principle critical point
分类号 O175.25 [理学—基础数学]
  • 相关文献

参考文献15

  • 1Stuart C A. Existence and approximation of solutions of non-linear elliptic equations [ J]. Math Z( S0025-5874), 1976,147 (1) :53-63.
  • 2Crandall M G, Rabinowitz P H,Tartar L. On a Dirichlet problem with a singular nonlinearity[ J]. Comm Parfical Differential Equations (S0360- 5302), 1977,2(2) : 193-222.
  • 3Coclite M M, Palmieri G. On a singular nonolinear Dirichlet problem [ J ]. Comm Partical Differential Equations ( S0360 -5302 ), 1989,10 : 1315 - 1327.
  • 4Lazer A C, Mckenna P J. On a singular nonlinear elliptic boundary-value problem [ J ]. Pine Amer Math Soc (S0002-9939), 1991,111:721-730.
  • 5Lair A V, Shaker A W. Classical and weak solutions of a singular elliptic problem[ J]. J Math Appl (S0022-247X), 1997,221 (2) :371-385.
  • 6Zhang Z J. On a Dirlehlet problem with singular nonlinearity[ J]. J Math Anal App( S0022-247X), 1995,194:103-113.
  • 7Choi Y S, Lazere A C, Mckenna P J. Some remarks on a singular elliptic boundary value problem [ J ]. Nonlinear Anal ( S0362-546X ), 1998,32 (3) :305-314.
  • 8廖家锋,吴行平.一类奇异半线性椭圆方程解的存在性(英文)[J].西南大学学报（自然科学版）,2008,30(2):10-14. 被引量：5
  • 9张恭庆.临界点理论及其应用[M].上海:上海科技出版社,1984.
  • 10Szulkin A. Minimax principles for lower semicontinuous and applicationa to nonlinear boundary walue problems[ J]. Ann Inst H Poincare Anal Non Lineaire ( S0294-1449), 1986,3 (2) : 77 -109.

二级参考文献20

  • 1[1]Stuart Charles A.Existence and Approximation of Solutions of Non-Linear Elliptic Equations[J].Math Z,1976,147(1):53-63.
  • 2[2]Crandall M G,Rabinowitz P H,Tartar L.On a Dirichlet Problem with a Singular Nonlinearity[J].Comm Partical Differential Equations,1977,2(2):193-222.
  • 3[3]Coclite M M,Palmieri G.On a Singular Nonlinear Dirichlet Problem[J].Comm Partical Differential Equations,1989,14(10):1315-1327.
  • 4[4]Lazer A C,Mckenna P J.On a Singular Nonlinear Elliptic Boundary-Value Problem[J].Proc Amer Math Soc,1991,111(3):721-730.
  • 5[5]Lair A V,Shaker A W.Classical and Weak Solutions of a Singular Elliptic Problem[J].J Math Anal Appl,1997,221(2):371-385.
  • 6[6]Zhang Zhijun.On a Dirichlet Problem with Singular Nonlinearity[J].J Math Anal App,1995,194(1):103-113.
  • 7[7]Choi Y S,Lazere A C,Mckenna P J.Some Remarks on a Singular Elliptic Boundary Value Problem[J].Nonlinear Anal,1998,32(3):305-314.
  • 8[8]Canino A.Minimax Methods for Singular Elliptic Equations with an Application to a Jumping Problem[J].J Differential Equations,2006,221(1):210-223.
  • 9[9]Canino A.Degiovanni M.A Variational Approach to a Class of Singular Semilinear Elliptic Equations[J].J Convex Anal,2004,11(1):147-162.
  • 10[10]Szulkin A.Minimax Principles for Lower Semicontinuous and Application to Nonlinear Boundary Value Problems[J].Ann Inst H Poincaré Anal Non Linéaire,1986,3(2):77-109.

共引文献6

同被引文献14

  • 1Edelson A L. Entire solutions of singular elliptic equations[J]. J Math Anal Appl,1989,139(2):523-532.
  • 2Lazer A C, Mckenna P J. On a singular nonlinear elliptic boundary-value problem[J]. Proc Am Math Soc,1991,111(3):721-730.
  • 3Ghergu M, Rǎdulescu V. Sublinear singular elliptic problems with two parameters[J]. J Diff Eqns,2003,195(2):520-536.
  • 4Shi J, Yao M. On a singular nonlinear semilinear elliptic problem[J]. Proc Roy Soc Edinburgh,1998,A128(6):1389-1401.
  • 5Zhang Z. On a Dirichlet problem with a singular nonlinearity[J]. J Math Anal Appl,1995,194(1):103-113.
  • 6Cui S. Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems[J]. Nonl Anal,2000,41:149-176.
  • 7Lions P L. On the existence of positive solutions of semilinear elliptic equations[J]. SIAM Rev,1982,24(4):441-467.
  • 8Gilbarg D, Trudinger N S. Elliptic Partial Differential Equations of Second Order[M]. 2nd. Berlin:Springer,1983.
  • 9Naito Y, Sato T. Positive solutions for semilinear elliptic equations with singular forcing terms[J]. J Diff Eqns,2007,235:439-483.
  • 10Callegari A, Nashman A. Some singular nonlinear differential equations arising in boundary layer theory[J]. J Math Anal Appl,1978,64(1):96-105.

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二级引证文献2

信阳师范学院学报（自然科学版）
2010年 第1期

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