Existence and asymptotic behavior of non-radially symmetric ground states of semilinear singular elliptic equations

This paper deals with the existence and asymptotic behavior of entire positive solutions of the semilinear elliptic equation -Delta u = p(x)f(u) in R-N (N >= 3), where p is nonnegative and locally Holder continuous and f is a positive locally Lipschitz continuous function, singular at 0 in the sense that f (r) (r -> 0)-> infinity. No symmetry is required from p and no monotonicity condition is imposed on f. Arguments for lower and upper solutions are exploited. (c) 2005 Elsevier Ltd. All rights reserved.