Existence of solutions for a class of fractional Kirchhoff variational inequality

被引：0

作者：

Deng, Shenbing ^{[1
]}

Luo, Wenshan ^{[1
]}

Ledesma, Cesar E. Torres ^{[2
]}

Quiroz, George W. Alama ^{[3
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Univ Nacl Trujillo, Dept Matemat, Inst Invest Matemat, Ave Juan Pablo II S-N, Trujillo 13006, Peru

[3] Univ Privada Norte, Fac Estudios Gen, UPN Campus Virtual, Urb San Isidro 2da Etapa, Trujillo 13006, Peru

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2024年 / 43卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Fractional Kirchhoff variational inequality; variational methods; critical nonlinearity; MULTIPLE POSITIVE SOLUTIONS; CRITICAL-POINT THEORY; OBSTACLE PROBLEM; REGULARITY; STABILITY; EQUATION; DRIVEN;

D O I：

10.4171/ZAA/1742

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the following fractional Kirchhoff variational inequality: (a + b[u] (2) ) integral(3)(R) ( - Delta) (s/2) u( - Delta)( s /2 )(v - u) dx + integral(R) 3 (1 + lambda V (x))u(v - u) dx >= integral(R)3 f (u)(v - u) dx V v E K , where s is an element of (( 3)/ (4) , 1) , lambda > 0 . 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.

引用

页码：149 / 168

页数：20

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