Regularity Theory of Quasilinear Elliptic and Parabolic Equations in the Heisenberg Group

This note provides a succinct survey of the existing literature concerning the Hölder regularity for the gradient of weak solutions of PDEs of the form ∑ _i=1^2n X_i A_i(∇ _0 u)=0 and ∂ _t u= ∑ _i=1^2n X_i A_i(∇ _0 u) modeled on the p -Laplacian in a domain in the Heisenberg group ℍ^n , with 1更多