Existence of solutions for some noncercive elliptic problems involving derivatives of nonlinear terms
Analysis of PDEs
2012-06-19 v1
Abstract
We study a nonlinear equation with an elliptic operator having degenerate coercivity. We prove the existence of a W^{1,1}_0 solution which is distributional or entropic, according to the growth assumptions on a lower order term in divergence form.
Keywords
Cite
@article{arxiv.1206.3694,
title = {Existence of solutions for some noncercive elliptic problems involving derivatives of nonlinear terms},
author = {Lucio Boccardo and Gisella Croce and Luigi Orsina},
journal= {arXiv preprint arXiv:1206.3694},
year = {2012}
}