Multiple solutions of <i>p</i>-fractional Schrödinger-Choquard-Kirchhoff equations with Hardy-Littlewood-Sobolev critical exponents-Reference-Cited by-同舟云学术

Multiple solutions of p-fractional Schrödinger-Choquard-Kirchhoff equations with Hardy-Littlewood-Sobolev critical exponents

Published:2023-01-01 Issue:1 Volume:23 Page:
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Lin Xiaolu¹,Zheng Shenzhou¹,Feng Zhaosheng²

Affiliation:

1. Department of Mathematics, Beijing Jiaotong University , Beijing 100044 , China

2. School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley , Edinburg , TX 78539 , USA

Abstract

Abstract In this article, we are concerned with multiple solutions of Schrödinger-Choquard-Kirchhoff equations involving the fractional

-Laplacian and Hardy-Littlewood-Sobolev critical exponents in

R N

{{\mathbb{R}}}^{N}

. We classify the multiplicity of the solutions in accordance with the Kirchhoff term

M ( ⋅ )

M\left(\cdot )

and different ranges of

shown in the nonlinearity

f ( x , ⋅ )

f\left(x,\cdot )

by means of the variational methods and Krasnoselskii’s genus theory. As an immediate consequence, some recent related results have been improved and extended.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2022-0059/pdf

Reference46 articles.

1. C. O. Alves, F. Corrêa, and T. F. Ma, Positive solutions for a quasilinear elliptic equation of Kirchhoff type, Comput. Math. Appl. 49 (2005), no. 1, 85–93.

2. V. Ambrosio and T. Isernia, Concentration phenomena for a fractional Schrödinger-Kirchhoff type problem, Math. Methods Appl. Sci. 41 (2018), 615–645.

3. V. Ambrosio, Fractional p and q Laplacian problems in RN with critical growth, Z. Anal. Anwend. 39 (2020), no. 3, 289–314.

4. V. Ambrosio, T. Isernia, and V. D. Rǎdulescu, Concentration of positive solutions for a class of fractional p-Kirchhoff type equations, Proc. Roy. Soc. Edinburgh Sect. A 151 (2021), no. 2, 601–651.

5. D. Cassani, J. Van Schaftingen, and J. J. Zhang, Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent, Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), no. 3, 1377–1400.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On a Schrödinger equation involving fractional (N/s1,q)-Laplacian with critical growth and Trudinger–Moser nonlinearity;Communications in Nonlinear Science and Numerical Simulation;2024-12

2. The solvability and regularity results for elliptic equations involving mixed local and nonlocal p-Laplacian;Journal of Elliptic and Parabolic Equations;2024-07-26

3. On multiplicity and concentration for a magnetic Kirchhoff–Schrödinger equation involving critical exponents in $$\mathbb {R}^{2}$$;Zeitschrift für angewandte Mathematik und Physik;2024-05-15

4. Infinitely many solutions for p-fractional Choquard type equations involving general nonlocal nonlinearities with critical growth via the concentration compactness method;Journal of Differential Equations;2024-02