Gradient estimates for quasilinear elliptic Neumann problems with unbounded first-order terms
Analysis of PDEs
2024-10-22 v2
Abstract
This paper studies global a priori gradient estimates for divergence-type equations patterned over the -Laplacian with first-order terms having polynomial growth with respect to the gradient, under suitable integrability assumptions on the source term of the equation. The results apply to elliptic problems with unbounded data in Lebesgue spaces complemented with Neumann boundary conditions posed on convex domains of the Euclidean space.
Keywords
Cite
@article{arxiv.2211.03760,
title = {Gradient estimates for quasilinear elliptic Neumann problems with unbounded first-order terms},
author = {Marco Cirant and Alessandro Goffi and Tommaso Leonori},
journal= {arXiv preprint arXiv:2211.03760},
year = {2024}
}