@Article{Chabrowski2009,
author = "Chabrowski, Jan",
title = "On elliptic problems with a nonlinearity depending on the gradient",
journal = "Opuscula Math.",
year = "2009",
volume = "29",
number = "4",
pages = "377--391",
doi = "http://dx.doi.org/10.7494/OpMath.2009.29.4.377",
url = "http://dx.doi.org/10.7494/OpMath.2009.29.4.377",
abstract = "We investigate the solvability of the Neumann problem \((1.1)\) involving the nonlinearity depending on the gradient. We prove the existence of a solution when the right hand side \(f\) of the equation belongs to \(L^m(\Omega )\) with \(1 \leq m \lt 2\).",
keywords = "Neumann problem, nonlinearity depending on the gradient, \(L^1\) data",
issn = "1232-9274"
}