Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610544 | Journal of Differential Equations | 2013 | 26 Pages |
Abstract
We prove that local minimizers of the functionalF(u):=â«Î©|Du|p(x)log(e+|Du|)dx are of class C0,α for every 0<α<1, if the exponent p(x)>1 has logarithmic modulus of continuity. Moreover, in case the exponent p(x)>1 is a Hölder continuous function, we establish that minimizers of F(u) are of class C1,α, for some 0<α<1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Flavia Giannetti, Antonia Passarelli di Napoli,