[1] Caffarell L, Kohn R, Nirenberg L. First order interpolation inequalities with weights. Compos Math, 1984, 53: 259–275
[2] Xuan B. The solvability of quasilinear Brezis-Nirenberg-type problems with singular weights. Nonlinear Anal, 2005, 62: 703–725
[3] Alves C O, El Hamidi A. Nehari manifold and existence of positive solutions to a class of quasilinear problems. Nonlinear Anal, 2005, 60: 611–624
[4] Brown K J. The Nehari manifold for a semilinear elliptic equation involving a sublinear term. Calc Var, 2005, 22: 483–494
[5] Brown K J, Wu T F. On semilinear elliptic equations involving concave-convex nonlinearities and sign-changing weight function. J Math Anal Appl, 2006, 318: 253–270
[6] Brown K J, Wu T F. A fibering map approach to a semilinear elliptic boundary value problem. Electron J Different Equat, 2007, 69: 1–9
[7] Brown K J, Wu T F. Multiplicity of positive solution of p-Laplacian problems with sign-changing weight function. Int J Math Anal, 2007, 1(12): 557–563
[8] Brown K J, Wu T F. A semilinear elliptic system involving nonlinear boundary condition and sign-changing weight function. J Math Anal Appl, 2008, 337: 1326–1336
[9] Hsu T S. Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlin-earities. Nonlinear Anal, 2009, 71: 2688–2698
[10] Rodrigues R S. On elliptic problems involving critical Hardy-Sobolev exponents and sign-changing function.
Nonlinear Anal, 2010, 73: 857–880
[11] Brown K J, Zhang Y. The Nehari manifold for a semilinear elliptic problem with a sign changing weight function. J Different Equat, 2003, 193: 481–499
[12] Drabek P, Pohozaev S I. Positive solutions for the p-Laplacian: application of the fibering method. Proc Roy Soc Edinburgh Sect A, 1997, 127: 721–747
[13] Miyagaki O H, Rodrigues R S. On multiple solutions for a singular quasilinear elliptic system involving critical Hardy-Sobolev exponents. Houston J Math, 2008, 34: 1271–1293
[14] Huang L, Wu X P, Tang C L. Existence and multiplicity of solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents. Nonlinear Anal, 2009, 71: 1916–1924
[15] Kang D. Nontrivial solutions to semilinear elliptic problems involving two critical Hardy-Sobolev exponents.
Nonlinear Anal, 2010, 72: 4230–4243
[16] Horiuchi T. Best constant in weighted Sobolev inequality with weights being powers of distance from origin. J Inequal Appl, 1997, 1: 275–292
[17] Alves C, Morais Filho D, Souto M. On systems of elliptic equations involving subcritical or critical Sobolev
exponents. Nonlinear Anal, 2000, 4: 771–787
[18] Br´ezis H, Lieb E. A relation between pointwise convergence of functions and convergence of functionals. Proc Amer Math Soc, 1983, 88: 486–490
[19] Han P. The effect of the domain topology on the number of positive solutions of elliptic systems involving critical Sobolev exponents. Houston J Math, 2006, 32: 1241–1257
[20] Binding P A, Drabek P, Huang Y X. On Neumann boundary value problems for some quasilinear elliptic equations. Electron J Different Equat, 1997, 5: 1–11
[21] Wu T F. On semilinear elliptic equations involving concave-convex nonlinearities and sign changing weight function. J Math Anal Appl, 2006, 318: 253–270 |