@article{Bella2023, 
author = {Peter Bella and Mathias Schäffner},
title = {Local boundedness for    p-Laplacian with degenerate coefficients},
year = {2023},
journal = {Mathematics in Engineering},
volume = {5},
number = {5},
pages = {1-20},
keywords = {elliptic regularity, nonuniform ellipticity, local boundedness, unbounded solutions, weak solutions},
url = {https://www.sciopen.com/article/10.3934/mine.2023081},
doi = {10.3934/mine.2023081},
abstract = {We study local boundedness for subsolutions of nonlinear nonuniformly elliptic equations whose prototype is given by    ∇  ⋅  (  λ      |    ∇  u            |              p      −      2        ∇  u  )  =  0, where the variable coefficient    0  ≤  λ and its inverse        λ          −      1       are allowed to be unbounded. Assuming certain integrability conditions on    λ and        λ          −      1       depending on    p and the dimension, we show local boundedness. Moreover, we provide counterexamples to regularity showing that the integrability conditions are optimal for every    p  >  1.}
}