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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

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.

Idioma original	Inglés
Páginas (desde-hasta)	149-168
Número de páginas	20
Publicación	Zeitschrift für Analysis und ihre Anwendungen
Volumen	43
N.º	1
DOI	https://doi.org/10.4171/ZAA/1742
Estado	Publicada - 2024

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title = "Existence of solutions for a class of fractional Kirchhoff variational inequality",

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.\}",

note = "Publisher Copyright: {\textcopyright} 2024 European Mathematical Society.",

year = "2024",

doi = "10.4171/ZAA/1742",

language = "English",

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journal = "Zeitschrift f{\"u}r Analysis und ihre Anwendungen",

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AU - Deng, Shenbing

AU - Luo, Wenshan

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

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DO - 10.4171/ZAA/1742

M3 - Article

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JO - Zeitschrift für Analysis und ihre Anwendungen

JF - Zeitschrift für Analysis und ihre Anwendungen

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Existence of solutions for a class of fractional Kirchhoff variational inequality

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