Global regularity estimates for $p(x)$-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 $p(x)$-Laplacian type operator invo…