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Some remarks on sub-elliptic equations

Li Ma·Dezhong Chen·Yang Yang
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Abstract

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

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Li Ma, Dezhong Chen, Yang Yang. 2009-10-14. Some remarks on sub-elliptic equations. https://arxiv.org/abs/math/0305068

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