We consider an obstacle problem in the Heisenberg group framework, and we prove that the operator on the obstacle bounds pointwise the operator on the solution. More explicitly, if minimizes the functional among the functions with prescribed Dirichlet boundary condition that stay below a smooth obstacle then Moreover, we discuss how it could be possible to generalize the previous bound to a quasilinear setting once some regularity issues for the equation are satisfied.
|Number of pages||24|
|Journal||Rendiconti dell'Istituto di Matematica dell'Universita di Trieste|
|Publication status||Published - 1 Dec 2013|