Existence of solutions for a class of fractional Kirchhoff variational inequality

Deng S.; Luo W.; Torres Ledesma C.E.; Alama Quiroz G.W. · Zeitschrift für Analysis und ihre Anwendungen (2024) · DOI: 10.4171/zaa/1742

Resumen

We are concerned with the following fractional Kirchhoff variational inequality: (Equation Presented), where (Formula Presented). In this paper, by applying penalization techniques from Bensoussan and Lions (1978) combined with mountain pass theorem, we show the existence and concentration behavior of positive solution to the cited variational inequality.

Instituciones: Universidad Nacional de Trujillo; Universidad Privada del Norte