Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774069 | Journal of Differential Equations | 2017 | 23 Pages |
Abstract
We study regularity of weak solutions to uniformly elliptic equations in the variable Hölder spaces. Assuming continuity of the coefficients of the operator, the Hölder continuity of the solution is proved. Moreover, assuming Hölder continuity of the coefficients, we prove that the weak gradient is Hölder continuous.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Piotr MichaÅ Bies, PrzemysÅaw Górka,