Title
EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF FRACTIONAL CHOQUARD EQUATION IN EXTERIOR DOMAIN
Date Issued
2022
Access level
open access
Resource Type
journal article
Author(s)
TORRES LEDESMA, CESAR ENRIQUE
Universidad Nacional de Trujillo
Publisher(s)
American Institute of Mathematical Sciences
Abstract
In this paper we show existence of positive solutions for a class of problems involving the fractional Laplacian in exterior domain and Choquard type nonlinearity. We prove the main results using variational method combined with Brouwer theory of degree and Deformation Lemma.
Start page
3301
End page
3328
Volume
42
Issue
7
Language
English
OCDE Knowledge area
Matemáticas puras
Subjects
DOI
10.3934/dcds.2022016
Scopus EID
2-s2.0-85131658490
Source
Discrete and Continuous Dynamical Systems- Series A
ISSN of the container
10780947
Source funding
ASPECTOS CUALITATIVOS DE ECUACIONES NO-LOCALES Y APLICACIONES
Sponsor(s)
2020 Mathematics Subject Classification. Primary: 35J60; Secondary: 35J65, 35Q55, 35R09. Key words and phrases. Fractional Laplacian, Choquard equation, exterior domain. César T. Ledesma was partially supported by CONCYTEC, Peru, 379-2019-FONDECYT “AS-PECTOS CUALITATIVOS DE ECUACIONES NO-LOCALES Y APLICACIONES”. ∗Corresponding author: César E. Torres Ledesma.
Sources of information: Directorio de Producción Científica Scopus