Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations

@inproceedings{Lu1996EmbeddingTI,
  title={Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations},
  author={Guozhen Lu},
  year={1996}
}
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 X1, . . . , Xm satisfying Hörmander’s condition. The nonlinear subelliptic equations under study include the important p-sub-Laplacian equation, e.g., 

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