| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 839719 | Nonlinear Analysis: Theory, Methods & Applications | 2015 | 5 Pages |
Abstract
We consider the boundary value problem {∑i=1nDi(ai(x,Du(x)))=0,x∈Ω;u(x)=u∗(x),x∈∂Ω. We show that higher integrability of the boundary datum u∗u∗ forces solutions uu to have higher integrability as well. Assumptions on ai(x,z)ai(x,z) are suggested by Euler equation of the anisotropic functional ∫Ω∑i=1n(2|Diu|2+|Diu|sin(|Diu|))pi2.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Alessandra Innamorati, Francesco Leonetti,