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在混合边界条件下临界指数椭圆方程的解 被引量:4

Solutions for Elliptic Equations with Critical Exponents on Mixed Boundary Conditions
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摘要 通过山路引理和一些分析技巧证明了具有混合Dirichlet-Neumann边界条件,Hardy项和Hardy-Sobolev临界指数的半线性椭圆方程解的存在性. The existence of solutions is studied for a class of semilinear elliptic equations with mixed Dirichlet-Neumann boundary conditions involving Hardy terms and Hardy-Sobolev critical exponents by the Mountain Pass Lemma and some analytical techniques.
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第4期521-527,共7页 Journal of Sichuan Normal University(Natural Science)
基金 湖北省教育厅科学技术研究计划重点基金(D20112605)资助项目
关键词 临界Hardy-Sobolev指数 混合Dirichlet-Neumann边界 山路引理 critical Hardy-Sobolev exponents mixed Dirichlet-Neumann boundary conditions Mountain Pass Lemma
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  • 1杨敏波,沈自飞.具Hardy-Sobolev临界指数的半线性椭圆方程的多解存在性[J].数学学报(中文版),2006,49(4):819-826. 被引量:2
  • 2丁凌,唐春雷.具有Hardy-Sobolev临界指数的p-Laplacian方程解的存在性和多重性(英文)[J].西南大学学报(自然科学版),2007,29(4):5-10. 被引量:12
  • 3陈亚浙 吴兰成.二阶椭圆型方程与椭圆型方程组[M].北京:北京科学出版社,1997..
  • 4Catrina F, Wang Z Q. On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extermal functions. Comm Pure Appl Math, 53:1-30 (2000)
  • 5Ekeland I, Ghoussoub N. Selected new aspects of the calculus of variations in the large. Bull Amer Math Soc, 39:207-265 (2002)
  • 6Ferrero A, Gazzola F. Existence of solutions for singular critical growth semilinear elliptic equations. J Differential Equations, 177:494-522 (2001)
  • 7Ghoussoub N, Yuan C. Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents. Trans Amer Math Soc, 352:5703-5743 (2000)
  • 8Jannelli E. The role played by space dimension in elliptic critcal problems. J Differential Equations, 156: 407-426 (1999)
  • 9Ni N W, Nirenberg L. Symmetry and related propeties via the maximum principle. Comm Math Phys, 69: 209-243 (1979)
  • 10Terracini S. On positive solutions to a class equations with a singular coefficient and critical exponent. Adv Differential Equations, 2:241-264 (1996)

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  • 1周鑫,胡先权.球谐环形振荡势薛定谔方程的精确解[J].重庆师范大学学报(自然科学版),2011,28(5):63-67. 被引量:3
  • 2熊明,王绍荣.一维p-Laplacian方程奇异边值问题的正解[J].数学学报(中文版),2006,49(1):161-168. 被引量:9
  • 3廖为,蒲志林.一类拟线性椭圆型方程Dirichlet问题正解的存在性[J].四川师范大学学报(自然科学版),2007,30(1):31-35. 被引量:7
  • 4Kirchhoff G,Mechanik [ M].Germany:Teuhner,Leipzig,1883.
  • 5Alves C O,Corr6a F J S A,Ma T F.Positive solu- tions for a quasilinear elliptic equation of Kirchhoff type[J].Comput MathAppl,2005,49(1):85.
  • 6Pohozaev S I.A certain class of quasilinear hyper- bolic equations [J].in Russian.Mat Sb(NS),1975,96(138):152.
  • 7Mao A M,Zhang Z T.Sign-changing and multiple solutions of Kirchhoff type problems without the P.S.condition/-J].Nonlinear Anal,2009,70(3):1275.
  • 8Perera K,Zhang Z T.Nontrivial solutions of Kirch- hoff-type problems via the Yang index[J].J Differ- ential Equations,2006,221(1):246.
  • 9Yang Y,Zhang J H.Positive and negative solutions of a class of nonlocal problems[J].Nonlinear Anal,2010,73(1):25.
  • 10Yang Y,Zhang J H.Nontrivial solutions of a class of nonlocal problems via local linking theory [J].Appl Math Lett,2010,23(4):377.

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