Existence of solutions for a class of fractional Kirchhoff variational inequality

Shenbing Deng; Wenshan Luo; César E. Torres Ledesma; George W. Alama Quiroz

doi:10.4171/ZAA/1742

Existence of solutions for a class of fractional Kirchhoff variational inequality

Shenbing Deng
, Wenshan Luo
, César E. Torres Ledesma
, George W. Alama Quiroz

Southwest University
Universidad Nacional de Trujillo

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	149-168
Number of pages	20
Journal	Zeitschrift für Analysis und ihre Anwendungen
Volume	43
Issue number	1
DOIs	https://doi.org/10.4171/ZAA/1742
State	Published - 2024

Keywords

Fractional Kirchhoff variational inequality
critical nonlinearity
variational methods

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abstract = "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.",

keywords = "Fractional Kirchhoff variational inequality, critical nonlinearity, variational methods",

author = "Shenbing Deng and Wenshan Luo and \{Torres Ledesma\}, \{C{\'e}sar E.\} and \{Alama Quiroz\}, \{George W.\}",

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AU - Deng, Shenbing

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AU - Torres Ledesma, César E.

AU - Alama Quiroz, George W.

PY - 2024

Y1 - 2024

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AB - 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.

KW - Fractional Kirchhoff variational inequality

KW - critical nonlinearity

KW - variational methods

UR - https://www.scopus.com/pages/publications/85192193279

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Existence of solutions for a class of fractional Kirchhoff variational inequality

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