Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773948 | Journal of Differential Equations | 2017 | 49 Pages |
Abstract
We are concerned with scalar valued local parabolic quasi-minimizers u associated to a Carathéodory integrand f obeying p-growth assumptions for p>1. For such parabolic quasi-minimizers we prove local Hölder continuity provided they are already locally bounded. The superquadratic case pâ¥2 has already been considered in [17], [22], whereas the subquadratic case could, at least to our knowledge, not be treated in the past. In this paper we are able to handle both the sub- and superquadratic case under more general growth conditions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Stefano Signoriello, Thomas Singer,