Existence and Multiplicity Results for a Class of Kirchhoff-Type Equations

Abstract

This paper deals with the existence and multiplicity of non-negative generalized solutions for a class of second-order Kirchhoff-type problems. It is important to mention that no asymptotic condition is required in the nonlinear term either at zero or at infinity. Our approach is based on the variational methods and critical point theory.

Keywords

• generalized solution
• second-order kirchhoff-type equation
• critical point theory
• variational methods