Existence of solutions for a class of fractional Kirchhoff variational inequality

  • Shenbing Deng

    Southwest University, Chongqing, China
  • Wenshan Luo

    Southwest University, Chongqing, China
  • César E. Torres Ledesma

    Universidad Nacional de Trujillo, Peru
  • George W. Alama Quiroz

    Universidad Privada del Norte, Trujillo, Peru
Existence of solutions for a class of fractional Kirchhoff variational inequality cover
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Abstract

We are concerned with the following fractional Kirchhoff variational inequality:

where , . 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. This result extend some results established by Alves, Barros and Torres [J. Math. Anal. Appl. 494 (2021)] to the fractional case.

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Cite this article

Shenbing Deng, Wenshan Luo, César E. Torres Ledesma, George W. Alama Quiroz, Existence of solutions for a class of fractional Kirchhoff variational inequality. Z. Anal. Anwend. 43 (2024), no. 1/2, pp. 149–168

DOI 10.4171/ZAA/1742