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.
Authors
- Dušan Repovš (ORCID: https://orcid.org/0000-0002-6643-1271)
- Xueqi Sun (ORCID: https://orcid.org/0009-0003-6064-836X)
- Yueqiang Song (ORCID: https://orcid.org/0000-0003-3570-3956)
Institutions
- University of Ljubljana (SI)
- Changchun Normal University (CN)
- Institute of Mathematics, Physics, and Mechanics (SI)
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