3 papers
math.AP2026
Gradient estimates for nonlinear elliptic equations with Orlicz growth and measure data
Ying Li, Chao Zhang
We establish gradient estimates of solutions to a class of nonlinear elliptic equations with measure data under Orlicz-type growth conditions. The growth is governed by the structu…
math.AP2025
Equivalence between Superharmonic functions and renormalized solutions for the equations with -growth
Ying Li, Chao Zhang
We establish the equivalence between superharmonic functions and locally renormalized solutions for the elliptic measure data problems with -growth. By showing that locally…
math.AP2024
Renormalized and entropy solutions to the general nonlinear parabolic equations in Musielak-Orlicz spaces
Ying Li, Chao Zhang
We study the well-posedness of solutions to the general nonlinear parabolic equations with merely integrable data in time-dependent Musielak-Orlicz spaces. With the help of a densi…