On minimizers for functionals under the non-standard growth conditions
Maria Alessandra Ragusa, Atsushi Tachikawa · AIP conference proceedings · 2016
Let us consider the p(x) energy functional 𝒜(u)=∫Ω(gαβ(x)hij(u)DαuiDβuj)p(x)/2dx, where (gαβ (x)) and (hij(u)) be uniformly elliptic symmetric matrices and p(x) ≥ 2. The paper is devoted to study regularity properties of local minimizers of the functional defined in open subset Ω of ℝm.