Ground state solutions for singular semi-linear elliptic equations Original Research Article

We prove the existence of a ground state solution for the semi-linear elliptic equation View the MathML source−Δu=f(x,u) on RNRN under suitable conditions on a locally Hölder continuous non-linearity f(x,t)f(x,t). The non-linearity may exhibit a singularity as t→0+t→0+.