Concentrating solutions of the fractional (p,q)-Choquard equation with exponential growth

This paper deals with the following fractional [Formula: see text]-Choquard equation with exponential growth of the form: [Formula: see text] [Formula: see text] where [Formula: see text] [Formula: see text] is a parameter, [Formula: see text] and [Formula: see text] The nonlinear function [Formula: see text] has an exponential growth at infinity and the continuous potential function [Formula: see text] satisfies suitable natural conditions. With the help of the Ljusternik–Schnirelmann category theory and variational methods, the multiplicity and concentration of positive solutions are obtained for [Formula: see text] small enough. In a certain sense, we generalize some previously known results.

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Publication Details

Journal
Analysis and Applications
Published
2025-04-25
DOI
https://doi.org/10.1142/s0219530525500290
Citations
1
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
3.73
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article

Concentrating solutions of the fractional (p,q)-Choquard equation with exponential growth

Dušan Repovš, Xueqi Sun, Yueqiang Song
1 citations
Analysis and Applications
Nonlinear Differential Equations Analysis
3.73
article

Concentrating solutions of the fractional (p,q)-Choquard equation with exponential growth

Dušan Repovš, Xueqi Sun, Yueqiang Song
article en
1 citations

Abstract

This paper deals with the following fractional [Formula: see text]-Choquard equation with exponential growth of the form: [Formula: see text] [Formula: see text] where [Formula: see text] [Formula: see text] is a parameter, [Formula: see text] and [Formula: see text] The nonlinear function [Formula: see text] has an exponential growth at infinity and the continuous potential function [Formula: see text] satisfies suitable natural conditions. With the help of the Ljusternik–Schnirelmann category theory and variational methods, the multiplicity and concentration of positive solutions are obtained for [Formula: see text] small enough. In a certain sense, we generalize some previously known results.

Analysis and ApplicationsVol. 24(03)
University of Ljubljana (SI), Changchun Normal University (CN), Institute of Mathematics, Physics, and Mechanics (SI)
Openalex Percentile: Top 11%
Nonlinear Differential Equations Analysis
3.73
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