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

This paper deals with the existence and asymptotic behavior of entire positive solutions of the semilinear elliptic equation View the MathML source−Δu=ρ(x)f(u)inRN(N≥3), where ρρ is nonnegative and locally Hölder continuous and ff is a positive locally Lipschitz continuous function, singular at 0 in the sense that View the MathML sourcef(r)⟶r→0∞. No symmetry is required from ρρ and no monotonicity condition is imposed on ff. Arguments for lower and upper solutions are exploited.