Da Silva, Edcarlos Domingos et De Paiva, Francisco Odair, Landesman-lazer type conditions and multiplicity results for nonlinear elliptic problems with neumann boundary values, Acta mathematica Sinica. English series (Print) , 30(2), 2014, pp. 229-250
We establish the existence and multiplicity of solutions for Steklov problems under nonresonance or resonance conditions using variational methods. In our main theorems, we consider a weighted eigenvalue problem of Steklov type.