[1] Ambtosetti A, Brezis H, Cerami G. Combined effects of concave and convex nonlinearities in some elliptic problems.
J Funct Anal, 1994, 122: 519--543
[2] Chen Jianqing. Multiple positive solutins for a class of nonlinear elliptic equation. J Math Anal Appl, 2004, 295: 341--354
[3] Li Juan, Tong Yuxia. Existence of Multiple solutins for a Singular elliptic equation. Acta Math Appl Sinica, 2010, 33(6): 968--981
[4] Azorero J G, Alonso I P. Multiplicity of solutions for elliptic problems with critical exponent or with a nonsymmetric term. Trans Amer Math Soc, 1991, 323(2): 877--895
[5] Bartsch T, Willem M. On an elliptic equation with concave and convex nonlinearities. Proc Amer Math Soc, 1995,
123(11): 3555--3561
[6] Ghoussoub N, Yuan C. Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents. Trans Amer Math Soc, 2000, 352: 5703--5743
[7] Caffarelli L, Kohn R, Nirenberg L. First order interpolation inequality with weights. Compositio Math, 1984, 53: 259--275
[8] Abdellaoui B, Colorado E, Peral I. Some improved Caffarelli-Kohn-Nirenberg inequalities. Calc Var Partial Differential Equations, 2005, 23: 327--345
[9] Abdellaoui B, Colorado E, Peral I. Existence and nonexistence results for a class of linear and semilinear parabolic
equations related to some Caffarelli-Kohn-Nirenberg inequalities. J Eur Math Soc, 2004, 6: 119--148
[10] Abdellaoui B, Felli V, Peral I. Existence and multiplicity for perturbations of an equation involving Hardy inequality and critical Sobolev exponent in the whole RN. Adv Differential Equations, 2004, 9: 481--508
[11] Chou K, Chu C. On the best constant for a weighted Sobolev-Hardy inequality. J London Math Soc, 1993, 48: 137--151
[12] Cao D, Han P. Solutions to critical elliptic equations with multi-singular inverse square potentials. J Differential Equations, 2006, 224: 332--372
[13] Catrina F, Wang Z Q. On the Caffarelli-Kohn-Nirenberg inequalities:sharp constants, existence(and nonexistence), and symmetry of extermal functions. Comm Pure Appl Math, 2001, 54: 229--258
[14] Ferrero A, Gazzola F. Existence of solutions for singular critical growth semilinear elliptic equations. J Differential Equations, 2001, 177: 494--522
[15] Felli V, Schneider M. Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type. J Differential Equations 2003, 191: 407--426
[16] Felli V, Schneider M. Compactness and existence results for degenerate critical elliptic equations. Commun Contemp Math, 2005, 7: 37--73
[17] Garcia Azorero J, Peral I. Hardy inequalities and some critical elliptic and parabolic problems. J Differential
Equations, 1998, 144: 441--476 |