On the singular problem involving fractional g-Laplacian
Year of publication
2024
Authors
Bal, Kaushik; Mishra, Riddhi; Mohanta, Kaushik
Abstract
In this paper, we show that the existence of a positive weak solution to the equation (−Δg)su=fu−q(x)inΩ, where Ω is a smooth bounded domain in RN, q∈C1(Ω¯¯), and (−Δg)s is the fractional g-Laplacian with g is the antiderivative of a Young function and f in suitable Orlicz space subjected to zero Dirichlet condition. This includes the mixed fractional (p,q)−Laplacian as a special case. The solution so obtained is also shown to be locally Hölder continuous.
Show moreOrganizations and authors
Publication type
Publication format
Article
Parent publication type
Journal
Article type
Original article
Audience
ScientificPeer-reviewed
Peer-ReviewedMINEDU's publication type classification code
A1 Journal article (refereed), original researchPublication channel information
Publisher
Volume
Early online
ISSN
Publication forum
Publication forum level
1
Open access
Open access in the publisher’s service
Yes
Open access of publication channel
Partially open publication channel
Self-archived
Yes
Other information
Fields of science
Mathematics
Keywords
[object Object],[object Object]
Publication country
United Kingdom
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1080/17476933.2024.2429098
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes