Opuscula Math. 37, no. 5 (2017), 755-772
Multiplicity results for perturbed fourth-order Kirchhoff-type problems
Mohamad Reza Heidari Tavani
Ghasem Alizadeh Afrouzi
Abstract. In this paper, we investigate the existence of three generalized solutions for fourth-order Kirchhoff-type problems with a perturbed nonlinear term depending on two real parameters. Our approach is based on variational methods.
Keywords: multiplicity results, multiple solutions, fourth-order Kirchhoff-type equation, variational methods, critical point theory.
Mathematics Subject Classification: 34B15, 58E05.