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Some remarks on sub-elliptic equations

Li Ma, Dezhong Chen, Yang Yang

math.AParXiv:math/0305068

Abstract

In this paper, we consider the principal eigenvalue problem for Hormander's laplacian on Rn. We also study a related semi-linear sub-elliptic equation in the whole Rn and prove that under a suitable condition, we have infinite many positive solutions of the problem.

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