Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840003 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 9 Pages |
Abstract
We give an alternative and self contained proof of the Hölder continuity of locally bounded solutions to some elliptic equations, including the equation associated with the pp-Laplacian operator. We combine the techniques introduced by De Giorgi and Moser with a 1-dimensional Poincaré inequality.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Fatma Gamze Düzgün, Paolo Marcellini, Vincenzo Vespri,