@article{Boccardo2023, 
author = {Lucio Boccardo and Giuseppa Rita Cirmi},
title = {Regularizing effect in some Mingione’s double phase problems with very singular data},
year = {2023},
journal = {Mathematics in Engineering},
volume = {5},
number = {3},
pages = {1-15},
keywords = {nonlinear elliptic equations, weak solutions, double phase problems, singular data, regularity},
url = {https://www.sciopen.com/article/10.3934/mine.2023069},
doi = {10.3934/mine.2023069},
abstract = {In this paper we study the existence of solutions of the Dirichlet problem associated to the following nonlinear PDE         −                                        d          i          v                          (    a  (  x  )    ∇  u      |    ∇  u            |              p      −      2            )    −                                        d          i          v                          (        |    u            |              (      r      −      1      )      λ      +      1        ∇  u      |    ∇  u            |              λ      −      2            )    =  fwhere    1  <  λ  ≤  p,    r  >  1 and    f  ∈      L    1    (  Ω  ).}
}