A nonlinear degenerate elliptic problem with W^{1,1}_0 solutions
Analysis of PDEs
2011-07-07 v1
Abstract
We study a nonlinear equation with an elliptic operator having degenerate coercivity. We prove the existence of a unique W^{1,1}_0 distributional solution under suitable summability assumptions on the source in Lebesgue spaces. Moreover, we prove that our problem has no solution if the source is a Radon measure concentrated on a set of zero harmonic capacity.
Cite
@article{arxiv.1107.1132,
title = {A nonlinear degenerate elliptic problem with W^{1,1}_0 solutions},
author = {Lucio Boccardo and Gisella Croce and Luigi Orsina},
journal= {arXiv preprint arXiv:1107.1132},
year = {2011}
}
Comments
manuscripta mathematica (2011)?