Quasilinear elliptic problems with general growth and merely integrable, or measure, data
Analysis of PDEs
2017-08-25 v1
Abstract
Boundary value problems for a class of quasilinear elliptic equations, with an Orlicz type growth and L^1 right-hand side are considered. Both Dirichlet and Neumann problems are contemplated. Existence and uniqueness of generalized solutions, as well as their regularity, are established. The case of measure right-hand sides is also analyzed.
Cite
@article{arxiv.1708.07432,
title = {Quasilinear elliptic problems with general growth and merely integrable, or measure, data},
author = {Andrea Cianchi and Vladimir Maz'ya},
journal= {arXiv preprint arXiv:1708.07432},
year = {2017}
}