[1] Ambrosetti A, Azorero J G, Peral I. Elliptic variational problems in RN with critical growth. J Diff Equ, 2000, 168:10-32.
[2] Ambrosetti A, Brézis H, Cerami G. Combined effects of concave and convex nonlinearities in some elliptic problems. J Funct Anal, 1994, 122:519-543
[3] Bahri A, Li Y Y. On a min-max procedure for the existence of a positive solution for certain scalar field equations in RN. Rev Mat Iberoam, 1990, 6:1-15
[4] Brézis H, Nirenberg L. Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm Pure Appl Math, 1983, 36:437-477
[5] Brézis H, Nirenberg L. A minimization problem with critical exponent and nonzero data//Symmetry in Nature. Scuola Normale Superiore Pisa, 1989, I:129-140
[6] Brown K J, Zhang Y P. The Nehari manifold for a semilinear elliptic problem with a sign-changing weight function. J Diff Equ, 2003, 193:481-499
[7] Cao D M, Chabrowski J. Multiple solutions of nonhomogeneous elliptic equation with critical nonlinearity. Diff Integ Equ, 1997, 10:797-814
[8] Cao D M, Li G B, Zhou H S. Multiple solution for nonhomogeneous elliptic with critical sobolev exponent. Proc Roy Soc Edinburgh Sect A, 1994, 124:1177-1191
[9] Cao D M, Peng S J, Yan S S. Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth. J Funct Anal, 2012, 262:2861-2902
[10] Cao D M, Zhou H S. Multiple positive solutions of nonhomogeneous semilinear elliptic equations in RN. Proc Roy Soc Edinburgh Sect A, 1996, 126:443-463
[11] Cerami G, Zhong X X, Zou W M. On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem. Calc Var Partial Diff Equ, 2015, 54:1793-1829
[12] Chen Y P, Chen J Q. Multiple positive solutions for a semilinear equation with critical exponent and prescribed singularity. Nonlinear Anal, 2016, 130:121-137
[13] Clapp M, del Pino M, Musso M. Multiple solutions for a non-homogeneous elliptic equation at the critical exponent. Proc Roy Soc Edinburgh Sect A, 2004, 134:69-87
[14] Drábek P, Huang Y X. Multiplicity of positive solutions for some quasilinear elliptic equation in RN with critical Sobolev exponent. J Diff Equ, 1997, 140:106-132
[15] Du Y H, Guo Z M. Finite Morse index solutions of weighted elliptic equations and the critical exponents. Calc Var Partial Diff Equ, 2015, 54:3161-3181
[16] Ghoussoub N, Yuan C. Multiple solutions for quasilinear PDEs involving the critical Sobolev and Hardy exponents. Trans Amer Math Soc, 2000, 352:5703-5743
[17] Guo Z Y. Ground states for a nonlinear elliptic equation involving multiple Hardy-Sobolev rritical exponents. Adv Nonlinear Stud, 2016, 16:333-344
[18] Hirano N, Kim W S. Multiple existence of solutions for a nonhomogeneous elliptic problem with critical exponent on RN. J Diff Equ, 2010, 249:1799-1816
[19] Hirano N, Micheletti A M, Pistoia A. Multiple exitence of solutions for a nonhomogeneous elliptic problem with critical exponent on RN. Nonlinear Anal, 2006, 65:501-513
[20] Huang Y S. Multiple positive solutions of nonhomogeneous equations involving the p-Laplacian. Nonlinear Anal, 2001, 43:905-922
[21] Hsu T S, Lin H L. Three positive solutions for semilinear elliptic problems involving concave and convex nonlinearities. Proc Roy Soc Edinburgh Sect A, 2012, 142:115-135
[22] Korman P. On uniqueness of positive solutions for a class of semilinear equations. Discrete Contin Dyn Syst, 2002, 8:865-871
[23] Lan Y Y, Tand C L. Perturbation methods in semilinear elliptic problems involving critical Hardy-Sobolev exponent. Acta Mathematica Scientia, 2014, 34B:703-712
[24] Li T X, Wu T F. Multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent. J Math Anal Appl, 2010, 369:245-257
[25] Liao F F, Yang M H, Tang C L. The existence a second positive solution of a class of elliptic equations with concave and convex nonlinearities with a critical exponent (Chinese). J Southwest Univ, 2012, 34:83-86
[26] Liao J F, Liu J, Zhang P, Tang C L. Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent. Ann Pol Math, 2016, 116:273-292
[27] Liao J F, Liu J, Zhang P, Tang C L. Existence and multiplicity of positive solutions for a class of elliptic equations involving critical Sobolev exponents. RACSAM, 2016, 110:483-501
[28] Lin H L. Positive solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent. Nonlinear Anal, 2012, 75:2660-2671
[29] Liu X Q, Liu J Q, Wang Z Q. Quasilinear elliptic equations with critical growth via perturbation method. J Diff Equ, 2013, 254:102-124
[30] Naito Y, Sato T. Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent. Ann Mat Pura Appl, 2012, 191:25-51
[31] Rabinowitz P H. Minimax methods in critical point theory with applications to differential equations//Regional Conference Series in Mathematics. American Mathematical Society, 1986
[32] Rudin W. Real and complex analysis. New York, London etc:McGraw-Hill, 1966
[33] Song Y Y, Wu X P, Tang C L. Multiple positive solutions for Robin problem involving critical weighted Hardy-Sobolev exponents with boundary singularities. J Math Anal Appl, 2014, 414:211-236
[34] Struwe M. Variational Methods(second edition). Berlin, Heidelberg:Springer-Verlag, 1996
[35] Tang M. Exact multiplicity for semilinear elliptic Dirichlet problems involving concave and convex nonlinearities. Proc Roy Soc Edinburgh Sect A, 2003, 133:705-717
[36] Tarantello G. On nonhomogeneous elliptic equations involving critical Sobolev exponent. Ann Inst H Poincare Anal Non Lineaire, 1992, 9:281-304
[37] Tarantello G. Multiplicity results for an inhomogeneous Neumann problem with critical exponent. Manuscripta Math, 1993, 18:57-78
[38] Wu T F. On semilinear elliptic equation involving concave-convex nonlinearities and sign-changing weight function. J Math Anal Appl, 2006, 318:253-270
[39] Wu T F. On the semilinear elliptic equation involving critical exponent and sign-changing weight function. Commun Pure Appl Anal, 2008, 7:383-405
[40] Wu T F. Three positive solutions for Dirichlet problems involving critical Sobolev exponent and signchanging weight. J Diff Equ, 2010, 249:1549-1578
[41] Zhang J, Ma S W. Infinitely many sign-changing solutions for the Brézis-Nirenberg problem involving Hardy potential. Acta Mathematica Scientia, 2016, 36B:527-536
[42] Zhang Z. On ground state solutions for quasilinear elliptic equations with a general nonlinearity in the critical growth. J Math Anal Appl, 2013, 401:232-241