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On Nonhomogeneous Singular Elliptic Systems with Critical C-K-NExponent

On Nonhomogeneous Singular Elliptic Systems with Critical C-K-NExponent
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摘要 Abstract: In this paper, we are interested in the existence and multiplicity results ofnontrivial solutions to nonhomogeneous singularelliptic systems with critical C-K-N exponent(λ1,λ2).With the help of the Nehari manifold and under sufficient conditions on the parameters λ1 and λ2, we prove some existence results.
机构地区 Qassim University
出处 《Journal of Mathematics and System Science》 2015年第4期165-171,共7页 数学和系统科学(英文版)
关键词 Singular nonhomogeneous elliptic systems Nehari manifold critical C-K-N exponent 椭圆系统 非齐次 奇异 充分条件 c系统 非均质
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  • 1Deng Y B. Existence of multiple solutions for -△u + c^2u =u N+2/N-2 + μf(x) in R^N. Proc Royal Soc Edin,1992, 112A: 161-175
  • 2Ruiz D, Willem M. Elliptic problems with critical exponents and Hardy potentials. J D E, 2003, 190: 524-538
  • 3Yosida K. Functional Analysis. 6-th ed. Berlin: Springer, 1999. 120-121
  • 4Brezis H, Lieb E. A relation between point convergence of functions and convergence of functions. Proc AMS, 1983, 88:486-490
  • 5Brezis H, Nirenberg L. Pisitive solutions of nonlinear elliptic equations involving critical Sobolev exponents.Comm Pure Appl Math, 1983, 36:437-477
  • 6Caffarelli L, Cohn R, Nirenberg L. First order interpolation inequality with weights. Compositio Math,1984, 53:259-275
  • 7Cao D M, Li G B, Zhou H S. Multiple solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent. Proceedings of the Royal Society of Edinburg, 1994, 124A: 1177-1191
  • 8Cheng T, Zhao Charles Xuejin. Existence of Multiple solutions for-△u-μu/|x|^2=u^2^*-1+σf(x).Math Meth Appl Sci, 2002, 25:1307-1336
  • 9Evans L C. Partial Differential Equations. G S M Vol 19. Providence RI: American Mathematical Society, 1998. 508-511
  • 10Tarantello G. On nonhomogeneous elliptic equations involving critical Sobolev exponent. Ann Inst H Poincáre Anal Non Linéaire, 1992, 9:243-261

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