Partial regularity for manifold constrained p(x)-harmonic maps
Cristiana De Filippis · Calculus of Variations and Partial Differential Equations · 2019
We prove that manifold constrained p(x)-harmonic maps are locally $$C^{1,\beta _{0}}$$ -regular outside a set of zero n-dimensional Lebesgue’s measure, for some $$\beta _{0} \in (0,1)$$ . We also provide an estimate from above of the Hausdorff dimension of the singular set.