3 papers
gr-qc2026
Quantum-Corrected Thermodynamics and Phase Structure of AdS Euler-Heisenberg Black Hole
Siddhartha Sankar Borah, Dhruba Jyoti Gogoi, Kalyan Bhuyan
We investigate the thermodynamic behaviour of an AdS black hole arising from nonlinear electrodynamics-corrected gravity, incorporating quantum effects through thermal fluctuations…
math.AP2026
A Green's function approach to linearized Monge-Ampère equations in divergence form and application to singular Abreu type equations
Chong Gu, Nam Q. Le
In this paper, we establish local and global regularity estimates for linearized Monge-Ampère equations in divergence form via critical Lorentz space estimates for the Green's fun…
math.AP2025
Convergence of an iterative scheme for the Monge-Ampère eigenvalue problem with general initial data
Nam Q. Le
In this note, we revisit an iterative scheme, due to Abedin and Kitagawa (Inverse Iteration for the Monge-Ampère Eigenvalue Problem, Proc. Amer. Math. Soc. 148 (2020), no. 11, 487…