4 papers · 1 filter
Qualitative properties of eigenfunctions in domains with small holes
Laura Abatangelo, Massimo Grossi, Ying Li
In this paper we study qualitative properties of the eigenvalues and eigenfunctions of with Dirichlet boundary condition in a smooth bounded domain with a small circular…
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…
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…