Special Session 21: Variational, topological, and set-valued methods for differential problems
Contents
We discuss some existence results for a semilinear elliptic equation involving a singular term of the type $ -\Delta u= f(u)+u^{q-1} $, coupled with Dirichlet boundary conditions. We assume that $q\in]0,1[$ and $f$ is a continuous function. Under different assumptions on $f$ we will prove the existence of a positive solution for our problem. Our approach is variational and combines methods from classical critical point theory.