2024/12/12 by Stephan, Paul
#Analysis of PDEs (math.AP) #FOS: Mathematics
paper · doi:10.48550/arxiv.2412.09478
We establish partial regularity results for minimizers of a class of functionals depending on differential expressions based on elliptic operators. Specifically, we focus on functionals of Orlicz growth with a natural strong quasiconvexity property. In doing so, we consider both Δ2∩∇2-Orlicz growth scenarios and, as a limiting case, L log L-growth. Inspired by Conti & Gmeineder (J Calc Var, 61:215, 2022), the proofs of our main results are accomplished by reduction to the case of full gradient partial regularity results.