| [1] Ambrosetti A. Critical Points and Nonlinear Variational Problems. Mémoire:Bulletin Soc Math, 1992
[2] Arioli G, Gazzola F, Grunau H, Sassone E. The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four. NoDEA Nonlinear Differential Equations Appl, 2008, 15:69-90
[3] Adachi S, Tanaka K. Four positive solutions for the semilinear elliptic equation:-Δ u+u=a(x)up+f(x) in RN. Calc Var Partial Differential Equations, 2000, 11:63-95
[4] Ambrosetti A, Rabinowitz P. Dual variational methods in critical point theory and applications. J Funct Anal, 1973, 14:349-381
[5] Bolle P, Ghoussoub N, Tehrani H. The multiplicity of solutions in non-homogeneous boundary value problems. Manuscripta Math, 2000, 101:325-350
[6] Brézis H, Nirenberg L. Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm Pure Appl Math, 1983, 36:437-477
[7] Brown K, Wu T. A fibering map approach to a potential operator equation and its applications. Differential Integral Equations, 2009, 22:1097-1114
[8] Brown K, Zhang Y. The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function. J Differential Equations, 2003, 193:481-499
[9] Cañada A, Drábek P, Gãmez J. Existence of positive solutions for some problems with nonlinear diffusion. Trans Amer Math Soc, 1997, 349:4231-4249
[10] Candela A, Salvatore A, Squassina M. Multiple solutions for semilinear elliptic systems with non-homog-eneous boundary conditions. Nonlinear Anal TMA, 2002, 51:249-270
[11] Chen Z, Shioji N, Zou W. Ground state and multiple solutions for a critical exponent problem. Nonlinear Differ Equ Appl, 2012, 19:253-277
[12] Clapp M, Weth T. Multiple solutions for the Brezis-Nirenberg problem. Adv Differ Equ, 2005, 10:463-480
[13] Drábek P, Pohozaev S. Positive solutions for the p-Laplacian:application of the fibering method. Proc Roy Soc Edinburgh Sect A, 1997, 127:703-726
[14] Gilbarg D, Trudinger S. Elliptic Partial Differential Equations of Second Order. Berlin:Springer, 1998
[15] Hu Y. Multiplicity of solutions for some semi-linear elliptic systems with non-homogeneous boundary conditions. Appl Anal, 2004, 83:77-96
[16] He H, Yang J. Positive solutions for critical inhomogeneous elliptic problems in non-contractible domains. Nonlinear Anal TMA, 2009, 70:952-973
[17] Struwe M. Variational Methods:Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems. Berlin:Springer-Verlag, 2000
[18] Salvatore A. Multiple solutions for some elliptic equations with non-homogeneous boundary conditions. Nonlinear Anal TMA, 2001, 47:1593-1604
[19] Sun Y, Li S. A nonlinear elliptic equation with critical exponent:estimates for extremal values. Nonlinear Anal TMA, 2008, 69:1856-1869
[20] Schechter M, Zou W. On the Brézis-Nirenberg problem. Arch Rational Mech Anal, 2010, 197:337-356
[21] Wu T. Three positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weight. J Differential Equations, 2010, 249:1549-1578
[22] Zhang D. On multiple solutions of-Δ u+u+|u|4/N-2=0. Nonlinear Anal TMA, 1989, 13:353-372 |