Regularity for minimizers of functionals with variable growth and discontinuous coefficients
Volume 110 / 2014
Annales Polonici Mathematici 110 (2014), 171-187
MSC: Primary 49N60.
DOI: 10.4064/ap110-2-5
Abstract
Based on the theory of variable exponent spaces, we study the regularity of local minimizers for a class of functionals with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain local Hölder continuity of minimizers.
