Existence results for a boundary value problem of p-Kirchhoff type on the half-line

Abstract

In this memoir, we study the existence and multiplicity of infinitely many pairs of nontrivial so lutions for two classes of nonlinear problems posed on the half-line. The first one concerns a Kirchhoff type problem studied in the classical Sobolev space. while the second one deals with a double phase problem investigated in the Musielak–Sobolev space . Our approach is based on vari ational methods, Krasnoselskii genus theory and the Palais–Smale condition, which are important tools in critical point theory.