Some remarks on sub-elliptic equations

Details Some remarks on sub-elliptic equations Some remarks on sub-elliptic equations

2003-05-05

arxiv.org/abs/math/0305068v2

Mathematics

Analysis of PDEs

published in Acta Math. Sinica

Scientific paper

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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