[1] Palais R S. The principle of symmetric criticality. Commun Math Phys, 1979, 69: 19–30
[2] Ferrero A, Gazzola F. Existence of solutions for singular critical growth semi-linear elliptic equations. J Differential Equations, 2001, 177(2): 494–522
[3] Chabrowski J. The Neumann problem for semilinear elliptic equations with critical Sobolev exponent. Milan J Math, 2007, 75: 197–224
[4] Chen J Q. Multiple positive solutions for a class of nonlinear elliptic equations. J Math Anal Appl, 2004, 295(2): 341–354
[5] Chen H, Liu X C, Wei Y W. Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents. Ann Glob Anal Geom, 2011, 39: 27–43
[6] Cao D M, Han P G. Solutions for semilinear elliptic equations with critical exponents and Hardy potential. J Differential Equations, 2004, 205(2): 521–537
[7] Cao D M, He X M, Peng S J. Positive solutions for some singular critical growth nonlinear elliptic equations. Nonlinear Anal, 2005, 60(3): 589–609
[8] 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
[9] Ding L, Tang C L. Existence and multiplicity of positive solutions for a class of semilinear elliptic equations involving Hardy term and Hardy-Sobolev critical exponents. J Math Anal Appl, 2008, 339: 1073–1083
[10] Shang Y Y, Tang C L. Positive solutions for Neumann elliptic problems involving critica Hardy-Sobolev exponent with boundary singularities. Nonlinear Analysis, 2009, 70: 1302–1320
[11] Ghoussoub N, Kang X S. Hardy-Sobolev critical elliptic equations with boundary singularities. Ann Inst H Poincar´e Anal Non Lin´eaire, 2004, 21(6): 767–793
[12] Kang D S, Peng S J, Solutions for semi-linear elliptic problems with critical Hardy-Sobolev exponents and Hardy potential. Appl Math Lett, 2005, 18(10): 1094–1100
[13] Nirenberg L, Monge-Amp´ere equations and some associated problems in geometry//Proceedings of the International Congress of Mathematicians. Vancouver, 1974: 275–279
[14] Ambrosetti A, Garcia Azorero J, Peral I. Perturbation of Δu+uN+2N−2 = 0, the scalar curvature problem in Rn, and related topics. J Functional Analysis, 1999, 165: 117–149
[15] Ambrosetti A, Badiale M. Homoclinics: Poincar´e-Melnikov type results via a varia-tional approach. Ann Inst H Poincar´e Anal Non Lin´eaire, 1998, 15: 233–252
[16] Ambrosetti A, Badiale M. Variational perturbative methods and bifurcation of bound states from the essential spectrum. Proc Royal Soc Edinburgh, 1998, 128A: 1131–1161
[17] Ambrosetti A, Malchiodi A. Perturbation Methods and Semilinear Elliptic Problems on Rn. Birkh¨auser Verlag, 2006
[18] Felli V, Schneider M. Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type. J Differential Equations, 2003, 191: 121–142
[19] Folland G B. Fourier Analysis and Its Applications. Wadsworth and Brooks/Cole, Belmont, CA, 1992 |