Boundary Estimates of Subelliptic p-Laplace Equations on the Heisenberg Group
Haifeng Liu · Chinese Annals of Mathematics · 2008
This paper studies the boundary properties of solutions to subelliptic p-Laplace equations.By constructing Hardy type inequalities involving the Carnot-Caratheodory dis- tance from interior point to the boundary of a domain on the Heisenberg group,the authors prove some L~p-estimates near the boundary of subelliptic p-Laplace equations and subelliptic p-Laplace equations with nontrivial potentials.