# 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.,

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 27 REFERENCES

## Trudinger

• N D. Gilbarg
• “Elliptic partial differential equations of…
• 1983
Highly Influential
3 Excerpts

• G. Lu
• 1996

## Proceedings of the Conference: Potential theory and partial differential operators with nonnegative characteristic form, Parma

• M. Biroli, U. Mosco
• 1994

## Wheeden, Weighted Sobolev-Poincaré inequalities for Grushin type operators, Comm

• B. Franchi, R.L.C.E. Gutierrez
• Partial Differential Equations
• 1994