Work

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

Year: 2025

Type: article

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.

Source: Analysis and Applications

DOI: 10.1142/s0219530525500290

Authors: Yueqiang Song, Xueqi Sun, Dušan D. Repovš

Institutions: Changchun Normal University, University of Ljubljana, Institute of Mathematics, Physics, and Mechanics

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Javna Agencija za Raziskovalno Dejavnost RS

OpenAlex ID: W4409790375

FWCI: 5.77

Cites:

Cited by: 3

Related to: 10