Work

On the singular problem involving fractional g -Laplacian

Year: 2024

Type: article

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.

Source: Complex Variables and Elliptic Equations

DOI: 10.1080/17476933.2024.2429098

Authors: Kaushik Bal, Riddhi Mishra, Kaushik Mohanta

Institutions: Indian Institute of Technology Kanpur, University of Jyväskylä

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Academy of Finland

Award: G4287687520