On the singular problem involving fractional g-Laplacian
Bal, K., Mishra, R., & Mohanta, K. (2024). On the singular problem involving fractional g-Laplacian. Complex Variables and Elliptic Equations, Early online. https://doi.org/10.1080/17476933.2024.2429098
Published in
Complex Variables and Elliptic EquationsDate
2024Copyright
© 2024 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group
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.
Publisher
Taylor & FrancisISSN Search the Publication Forum
1747-6933Keywords
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/244053587
Metadata
Show full item recordCollections
Related funder(s)
Research Council of FinlandFunding program(s)
Centre of Excellence, AoF; Academy Project, AoFAdditional information about funding
Research of the first author was funded by MATRICS (DST, INDIA) project MTR/2020/000594. Research of the second author was supported by the Academy of Finland via Centre of Excellence in Analysis and Dynamics Research (Project #364210). Research of the third author was supported by the Academy of Finland (project #323960) and by the Academy of Finland via Centre of Excellence in Analysis and Dyna ...
License
Except where otherwise noted, this item's license is described as CC BY 4.0