Nonlinear perturbations of a periodic Kirchhoff equation in

Study of a nonlinear Kirchhoff equation with non-homogeneous material

“…In [3] it is shown existence of solution for f subcritical and critical. Multiplicity of solutions were showed in [11], [14], [19], [27], [28] and [29] using genus or category theory.…”

Infinitely many large energy solutions for Schrödinger-Kirchhoff type problem in RN

“…Many solvability conditions on the nonlinearity have been given to obtain the existence and multiplicity of solutions for Kirchhoff type problems in R N , we refer the readers to [3,4,11,12,14,17,23,24,25,26] and references therein. Particularly, Wu obtained four results of the existence of a sequence of high energy solutions for the problem (1.1) by means of symmetric mountain pass theorem in [25].…”

A New Result on Multiplicity of Nontrivial Solutions for the Nonhomogenous Schrödinger–Kirchhoff Type Problem in R N

“…These results had been subsequently generalized by Wang in [22] to the p-Schrödinger-Kirchhoff type problem case. In [23], Alves and Figueiredo studied a periodic Kirchhoff equation in R N with nonlinear perturbations, and the existence of positive solutions was obtained for the subcritical nonlinearity case and critical nonlinearity case.…”