5 papers
Gradient estimates for the fractional -Laplacian in the superquadratic regime
Ying Li, Chao Zhang
We establish gradient potential estimates for solutions obtained as limits of approximations (SOLA) to the fractional -Laplace equation with finite signed Radon measure data. Un…
Orlicz Potential Theory: Balayage, Riesz Measures, and Very Weak Solutions
Iwona Chlebicka, Minhyun Kim, Ying Li +1
We develop a nonlinear potential theory for elliptic equations with Orlicz growth under general monotonicity and growth conditions, without any homogeneity or scaling assumptions.…
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…
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…
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…