Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604543 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2011 | 17 Pages |
Abstract
In this paper we consider integral functionals of the formF(v,Ω)=∫ΩF(Dv(x))dx with convex integrand satisfying (p,q)(p,q) growth conditions. We prove local higher differentiability results for bounded minimizers of the functional FF under dimension-free conditions on the gap between the growth and the coercivity exponents.As a novel feature, the main results are achieved through uniform higher differentiability estimates for solutions to a class of auxiliary problems, constructed adding singular higher order perturbations to the integrand.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Menita Carozza, Jan Kristensen, Antonia Passarelli di Napoli,