Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591328 | Journal of Functional Analysis | 2012 | 56 Pages |
Abstract
In this paper, we derive pointwise estimates for the gradients of solutions to elliptic obstacle problems of p-Laplace-type with measure data. Moreover, we address a borderline problem in the regularity theory and give a sharp criterion for continuity of the gradient of a solution. Other applications are Lorentz space estimates for the gradient and a criterion for C1,α-regularity of solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory