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Fractal Fract
Volume 8
Issue 6
10.3390/fractalfract8060310
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Multiple Normalized Solutions to a Choquard Equation Involving Fractional p-Laplacian in RN

by
Xin Zhang
and
Sihua Liang
*
College of Mathematics, Changchun Normal University, Changchun 130032, China
*
Author to whom correspondence should be addressed.
Fractal Fract. 2024, 8(6), 310; https://doi.org/10.3390/fractalfract8060310
Submission received: 9 April 2024 / Revised: 19 May 2024 / Accepted: 21 May 2024 / Published: 23 May 2024
(This article belongs to the Special Issue Variational Problems and Fractional Differential Equations)
Versions Notes

Abstract

In this paper, we study the existence of multiple normalized solutions for a Choquard equation involving fractional p-Laplacian in RN. With the help of variational methods, minimization techniques, and the Lusternik–Schnirelmann category, the existence of multiple normalized solutions is obtained for the above problem.
Keywords: Choquard equation; p-Laplacian operator; normalized solution; Lusternik–Schnirelmann category; variational method Choquard equation; p-Laplacian operator; normalized solution; Lusternik–Schnirelmann category; variational method

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MDPI and ACS Style

Zhang, X.; Liang, S. Multiple Normalized Solutions to a Choquard Equation Involving Fractional p-Laplacian in RN. Fractal Fract. 2024, 8, 310. https://doi.org/10.3390/fractalfract8060310

AMA Style

Zhang X, Liang S. Multiple Normalized Solutions to a Choquard Equation Involving Fractional p-Laplacian in RN. Fractal and Fractional. 2024; 8(6):310. https://doi.org/10.3390/fractalfract8060310

Chicago/Turabian Style

Zhang, Xin, and Sihua Liang. 2024. "Multiple Normalized Solutions to a Choquard Equation Involving Fractional p-Laplacian in RN" Fractal and Fractional 8, no. 6: 310. https://doi.org/10.3390/fractalfract8060310

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