Crandall M G, Rabinowitz P H, Tartar L. On a Dirichlet problem with a singular nonlinearity[J]. Commun Part Diff Eqns,1977,2(2):193-222.
[2]
Lazer A C, Mckenna P J. On a singular nonlinear elliptic boundary-value problem[J]. Proc Am Math Soc,1991,111:721-730.
[3]
Lair A V, Shaker A W. Classical and weak solutions of a singular semilinear elliptic problem[J]. J Math Anal Appl,1997,211: 371-385.
[4]
Sun Y J, Wu S P, Long Y M. Combined effects of singular and superlinear non-linearities in some singular boundary value problems[J]. J Diff Eqns,2001,176:511-531.
[5]
Yang H T. Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem[J]. J Diff Eqns,2003,189:487-512.
[6]
Hirano N, Saccon C, Shioji N. Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem[J]. J Diff Eqns,2008,245:1997-2037.
[7]
Sun Y J, Wu S P. An exact estimate result for a class of singular equations with critical exponents[J]. J Funct Anal 2011,260:1257-1284.
[8]
Boccardo L. A Dirichlet problem with singular and supercritical nonlinearities[J]. Nonlinear Anal,2012,75:4436-4440.
[9]
Arcoya D, Moreno Mérida L. Multiplicity of solutions for a Dirichlet problem with a strongly singular nonlinearity[J]. Nonlinear Anal,2014,95:281-291.
[10]
Wang X, Zhao L, Zhao P H. Combined effects of singular and critical nonlinearities in elliptic problems[J]. Nonlinear Anal,2013,87:1-10.