[1] Berestycki H, Lions P. Nonlinear scalar field equations, (I)existence of a ground state; (II) existence of infinitely many solutions. Archive for Rational Mechanics and Analysis, 1983, 82(4): 313--375
[2] Chen J. Existence of solutions for a nonlinear PDE with an inverse square potential. Journal of Differential Equations, 2003, 195(2): 497--519
[3] Ni W, Nussbaum T. Uniqueness and nonuniqueness for positive radial solutions of Δu +f(r,u)=0. Communications on Pure and Applied Mathematics, 1985, 38(1): 67--108
[4] Deng Y. Existence of multiple positive solutions for a semilinear equation with critical exponent. Proceedings of the Royal Society of Edinburgh, 1992, 122A: 161--175
[5] Deng Y, Li Y, Zhao X. Multiple solutions for an inhomogeneous semilinear elliptic equation in RN. Acta Mathematica Scientia,2003, 23B(1): 1--15
[6] Berestycki H, Esteban M. Existence and bifurcation of solutions for an elliptic degenerate problem. Journal of Differential Equations, 1997, 134(1): 1--25
[7] Levy-Leblond J. Electron capture by polar molecures. Physical Review, 1967, 153(1): 1--4
[8] Baras P, Goldstein J A. The heat equation with a singular potential. Transactions of the American Mathematical Society, 1984, 284(1): 121--139
[9] Xie H, Li S. Stationary solutions of Euler-Poisson equations for non-isentropic gaseous stars. Mathematical Methods in the Applied Sciences, 2012, 35: 1518--1531
[10] Azorero J, Alonso I. Hardy inequalities and some critical elliptic and parabolic problems. Journal of Differential Equations, 1998, 144(2): 441--476
[11] Cao D, Han P. Solutions for semilinear elliptic equations with critical exponents and Hardy potential. Journal of Differential Equations, 2004, 205(2): 521--537
[12] Cheng T, Zhao X. Existence of multiple positive solutions for -Δu - μ(u /|x|2 ) = u{2* -1 + σf(x). Mathematical Methods in the Applied Sciences, 2002, 25: 1307--1336
[13] Kang D, Peng S. Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents. Nonlinear Analysis: Theory, Methods & Applications, 2004, 56(8): 1151--1164
[14] Kang D, Peng S. Positive solutions for singular critical elliptic problems. Applied Mathematicals Letters, 2004: 17(4): 411--416
[15] Wang Z, Zhou H. Solutions for a nonhomogeneous elliptic problem involving critical Sobolev-Hardy exponent in RN.
Acta Mathematica Scientia, 2006, 26B(3): 525--536
[16] Stuart C A. An Introduction to Elliptic Equations on RN. Singapore: World Scientific, 1998
[17] Deng Y, Xie H. Multiple stationary solutions of Euler-Poisson equations for non-isentropic gaseous stars. Acta Mathematica Scientia, 2010, 30B(6): 2077--2088
[18] Pucci P, Servadeu R. Nonexistence for p-Laplace equations with singular weights. Communications on Pure and Applied Mathematics, 2010, 9(5): 1421--1438 |