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Semilinear subelliptic equations and Sobolev inequality for vector fields satisfying Hörmander’s condition. (Chinese) Zbl 0816.35015
The author studies the existence and regularity of solutions of a Dirichlet problem of the semilinear subelliptic equation with Hörmander square sum operator as its principal part. It is shown that the generalized Sobolev inequality holds if the vector fields satisfy the Hörmander condition.
Reviewer: Ma Li (Beijing)

MSC:
35H10 Hypoelliptic equations
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