Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations
Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations
This paper proves Harnack's inequality for solutions to a class of quasilinear subelliptic differential equations.The proof relies on various embedding theorems into nonisotropic Lipschitz and BMO spaces associated with the vector fields X 1 , . . ., Xm satisfying Hörmander's condition.The nonlinear subelliptic equations under study include the important …