Existence and multiplicity of solutions to $ p $-Kirchhoff-Choquard-type equations

AIMS Mathematics 2026 Open access

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Authors: Bing Long, Yulin Zhao
DOI: 10.3934/math.2026703
Cited by: 1
References: 21

Abstract

In this paper, we investigate the existence and multiplicity of solutions for a $ p $-Kirchhoff-Choquard-type equation involving a critical exponent. First, we employ the concentration-compactness principle to overcome the lack of compactness arising from the critical exponent. Then, under appropriate assumptions, we obtain the existence of solutions by applying the mountain pass theorem, the symmetric mountain pass theorem, the dual fountain theorem, and various necessary analytical techniques.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Nonlinear Differential Equations Analysis Mathematical Dynamics and Fractals

Publication details

Journal / source
AIMS Mathematics
Publisher
American Institute of Mathematical Sciences (AIMS)
Volume
11
Issue
6
Pages
17144–17165
Publication date
1 January 2026