[1]  Adriouch K, El Hamidi A. The Nehari manifold for systems of nonlinear elliptic equations. Nonlinear Analysis, 2006, 64: 2149--2167

[2]  Akhmediev N, Ankiewicz A. Partially coherent solitons on a finite background. Phys Rev Lett, 1999, 82: 2661--2664

[3]  Alves C O, Filho D C de M, Souto M A S. On systems of elliptic equations involving subcritical or critical Sobolev exponents. Nonlinear Analysis, 2000, 42: 771--787

[4]  Bouchekif M, Nasri Y. On elliptic system involving critical Sobolev-Hardy exponents. Mediterranean Journal of Mathematics, 2008, 5: 237--252

[5]  Brezis H, Nirenberg L. Positive solutions of nonlinear elliptic equations involving critical Sobolev exponent. Comm Pure Appl Math, 1983, 36: 437--478

[6]  Cao D M, Peng S J. A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms. J Differential Equations, 2003, 193(2): 424--434

[7]  Chen J Q. Existence of solutions for a nonlinear PDE with an inverse square potential. J Differential Equations, 2003, 195: 497--519

[8]  Deng Y B, Peng S J. Existence of multiple positive solutions for inhomogeneous Neumann problem. J Math Anal Appl, 2002, 271: 155--174

[9]  Kang D S, Deng Y B. Multiple solutions for inhomogeneous elliptic problems involving critical Sobolev-Hardy exponents. Nonlinear Analysis, 2005, 60: 729--753

[10]  Ferrero A, Gazzola F. Existence of solutions for singular critical growth semilinear elliptic equations. J. Differential Equations, 2001, 177: 494--522

[11]  Azorero J G, Alonso I P. Hardy inequalities and some critical elliptic and parabolic problems. J Differential Equations, 1998, 144:  441--476

[12]  Huang Y, Kang D S. Elliptic systems involving the critical exponents and potentials. Nonlinear Analysis, 2009, 71: 3638--3653

[13]  Liu Z X, Han P G. Existence of solutions for singular elliptic systems with critical exponents. Nonlinear Analysis, 2008, 69: 2968--2983

[14]  Long J, Yang J F. Existence results for critical singular elliptic systems. Nonlinear Analysis, 2008, 69: 4199--4214

[15]  Lions P L. The concentration-compactness principle in the calculus of variations (the limit case, part 1). Rev Matemática Iberoamericana, 1985, 1(1): 145--201

[16]  Lions P L. The concentration-compactness principle in the calculus of variations (the limit case, part 2). Rev Matemática eroamericana, 1985, 1(2): 45--121 

[17]  Shen Z F, Yang M B. Nontrivial solutions for Hardy-Sobolev critical elliptic equations. Acta mathematica Sinica (Chinese Series), 2005,
48: 999--1010

[18]  Smets D. Nonlinear Schr\"{o}dinger equations with Hardy potential and critical nonlinearities. Trans Amer Math Soc, 2005, 357: 2909--2938

[19]  Terracini S. On positive entire solutions to a class of equations with singular coefficients and critical exponent. Adv Differential
Equations, 1996, 1: 241--264

[20]  Willem M. Minimax Theorems. Boston: Birkhäuser,  1996

[21]  Wu T F. The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions. Nonlinear Analysis, 2008, 68: 1733--1745