Work

The limit of a nonlocal p-Laplacian obstacle problem with nonhomogeneous term as p → ∞

Year: 2025
Type: article
Abstract: The aim of this paper is to investigate the asymptotic behavior of the minimizers to the following problems related to the fractional p-Laplacian with nonhomogeneous term h p ⁢ ( x , u ) {{h_{p}(x,u)}} in the presence of an obstacle ψ in a bounded Lipschitz domain Ω ⊂ ℝ N {\Omega\subset\mathbb{R}^{N}} , min ⁡ { 1 2 ⁢ ∫ Ω × Ω | u ⁢ ( x ) - u ⁢ ( y ) | p | x - y | α ⁢ p + ∫ Ω h p ⁢ ( x , u ) : u ∈ W s , p ⁢ ( Ω
Author: Samer Dweik
Institution: Qatar University
Language: English
Open Access status: hybrid
Estimated APC paid: $2,712
OpenAlex ID: W4413804856
FWCI:
Cites: 8
Cited by:
Related to: 10