5 papers
Harnack inequality for double-phase functionals with Muckenhoupt-type growth functions
Minh-Phuong Tran, Thanh-Nhan Nguyen
We investigate a general class of variational integrals under a structural condition imposed on the double-phase function, recently introduced in~\cite{ADKO2026}. In this setting,…
Revisiting multi-phase variational problems: A Muckenhoupt weight approach
Thanh-Nhan Nguyen, Minh-Phuong Tran
In this paper, we investigate the regularity theory of local minimizers of multi-phase energy functionals. As a key feature of our work, instead of the classical Hölder continuity…
Global regularity estimates for -Laplacian variational inequalities with singular or degenerate matrix-valued weights
Minh-Phuong Tran, Duc-Quang Bui, Thanh-Nhan Nguyen
We establish the global gradient bounds for weak solutions to the elliptic variational inequality with two-sided obstructions, associated with a -Laplacian type operator invo…
Calderón-Zygmund gradient estimates for -Laplace systems with BMO complex coefficients
Van-Chuong Quach, Thanh-Nhan Nguyen, Minh-Phuong Tran
This work is concerned with global gradient bounds for a class of divergence-form degenerate elliptic systems with complex-valued coefficients. Notably, the leading coefficients ar…
A large scaling property of level sets for degenerate -Laplacian equations with logarithmic BMO matrix weights
Thanh-Nhan Nguyen, Minh-Phuong Tran
In this study, we deal with generalized regularity properties for solutions to -Laplace equations with degenerate matrix weights. It has already been observed in previous intere…