Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities
Analysis of PDEs
2019-03-13 v1
Abstract
We give pointwise gradient bounds for solutions of (possibly non-uniformly) elliptic partial differential equations in the entire Euclidean space. The operator taken into account is very general and comprises also the singular and degenerate nonlinear case with non-standard growth conditions. The sourcing term is also allowed to have a very general form, depending on the space variables, on the solution itself, on its gradient, and possibly on higher order derivatives if additional structural conditions are satisfied.
Keywords
Cite
@article{arxiv.1903.04569,
title = {Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities},
author = {Cecilia Cavaterra and Serena Dipierro and Alberto Farina and Zu Gao and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1903.04569},
year = {2019}
}