The Cp′C^{p'}Cp′-regularity conjecture for elliptic ppp-Laplace equations
Let p∈(2,∞)p\in(2,\infty)p∈(2,∞), let B1B_1B1 be the unit ball, and let Δpu≔div(∣Du∣p−2Du)\Delta_p u\coloneqq\operatorname{div}(|Du|^{p-2}Du)Δpu:=div(∣Du∣p−2Du). A function is locally of class C1,αC^{1,\alpha}C1,α if it has locally Höl…