On the singular problem involving fractional <i>g</i> -Laplacian
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.
Authors
- Kaushik Mohanta (ORCID: https://orcid.org/0000-0001-7712-1562)
- Kaushik Bal (ORCID: https://orcid.org/0000-0001-5728-0582)
- Riddhi Mishra (ORCID: https://orcid.org/0009-0004-6956-9323)
Institutions
- Indian Institute of Technology Kanpur (IN)
- University of Jyväskylä (FI)
Publication Details
- Journal
- Complex Variables and Elliptic Equations
- Published
- 2024-11-20
- DOI
- https://doi.org/10.1080/17476933.2024.2429098
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Department of Science and Technology, Ministry of Science and Technology, India
- Academy of Finland