Superlinear elliptic equations with singular coefficients on the boundary

Senba, 1990, Dirichlet problem for a semilinear elliptic equation with singular coefficient, Nonlinear Anal., 15, 299, 10.1016/0362-546X(90)90138-7

Hashimoto, 1999, Elliptic equations with singularity on the boundary, Differential Integral Equations, 12, 339, 10.57262/die/1367265215

Lü, 2006, Positive radial solutions of a singular elliptic equation with sign changing nonlinearities, Appl. Math. Lett., 19, 555, 10.1016/j.aml.2005.08.002

Usami, 1989, On a singular elliptic boundary value problem in a ball, Nonlinear Anal., 13, 1163, 10.1016/0362-546X(89)90004-7

Baxley, 1991, Some singular nonlinear boundary value problems, SIAM J. Math. Anal., 22, 463, 10.1137/0522030

Crandall, 1977, On a Dirichlet problem with a singular nonlinearity, Comm. Partial Differential Equations, 2, 193, 10.1080/03605307708820029

Canino, 2006, Minimax methods for singular elliptic equations with an application to a jumping problem, J. Differential Equations, 221, 210, 10.1016/j.jde.2005.01.015

Dalmasso, 2005, Weak solution of a singular semilinear elliptic equation in a bounded domain, Publ. Res. Inst. Math. Sci., 41, 793, 10.2977/prims/1145475230

Lazer, 1991, On a singular nonlinear elliptic boundary value problem, Proc. Amer. Math. Soc., 111, 721, 10.1090/S0002-9939-1991-1037213-9

R. Kajikiya, Sublinear elliptic equations with singular coefficients on the boundary (submitted for publication).

Azorero, 1998, Hardy inequalities and some critical elliptic and parabolic problems, J. Differential Equations, 144, 441, 10.1006/jdeq.1997.3375

Ambrosetti, 1973, Dual variational methods in critical point theory and applications, J. Funct. Anal., 14, 349, 10.1016/0022-1236(73)90051-7