A degenerate Kirchhoff-type problem involving variable -order fractional -Laplacian with weights

M Allaoui, MK Hamdani, L Mbarki - Periodica Mathematica Hungarica, 2024 - Springer
This paper deals with a class of nonlocal variable s (.)-order fractional p (.)-Kirchhoff type
equations: K∫ R 2 N 1 p (x, y)| φ (x)-φ (y)| p (x, y)| xy| N+ s (x, y) p (x, y) dxdy (-Δ) p (·) s (·) φ …

Existence and concentration of solutions for a fractional Schrödinger–Poisson system with discontinuous nonlinearity

C Mu, Z Yang, W Zhang - Advanced Nonlinear Studies, 2024 - degruyter.com
In this paper, we study the following fractional Schrödinger–Poisson system with
discontinuous nonlinearity: ε 2 s (− Δ) su+ V (x) u+ ϕ u= H (u− β) f (u), in R 3, ε 2 s (− Δ) s ϕ …

Variable-order fractional 1-Laplacian diffusion equations for multiplicative noise removal

Y Li, Z Guo, J Shao, Y Li, B Wu - Fractional Calculus and Applied Analysis, 2024 - Springer
This paper deals with a class of fractional 1-Laplacian diffusion equations with variable
orders, proposed as a model for removing multiplicative noise in images. The well …

[PDF][PDF] Lazer-McKenna type problem involving mixed local and nonlocal elliptic operators

S Huang, H Hajaiej - preprint, 2023 - researchgate.net
Lazer-McKenna type problem involving mixed local and nonlocal elliptic operators Page 1
Lazer-McKenna type problem involving mixed local and nonlocal elliptic operators Shuibo …

Nonexistence and multiplicity results for a fractional weighted (p,q)-Kirchhoff system

X Han, Z Naghizadeh, B Zhang - Complex Variables and Elliptic …, 2024 - Taylor & Francis
Full article: Nonexistence and multiplicity results for a fractional weighted (p,q)-Kirchhoff
system Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

On a nonlocal anisotropic system with variable exponents

M Massar, M Rahmani - Boletín de la Sociedad Matemática Mexicana, 2024 - Springer
This paper considers a Neumann anisotropic Kirchhoff-type system depending on two real
parameters with nonstandard growth condition. By utilizing variational arguments in a …

[PDF][PDF] DOUBLE PHASE PROBLEM WITH SINGULARITY AND HOMOGENOUS CHOQUARD TYPE TERM

O Benslimane, A Aberqi… - Journal of Applied Analysis …, 2024 - jaac-online.com
In this study, we prove in the context of Musielak Sobolev space that, under various
assumptions on the data, two positive non-trivial solutions exist to the double phase problem …