Some remarks on sub-elliptic equations
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🧮 math.AP
math.DG
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problemsub-ellipticconditionconsidereigenvalueequationequationshormander
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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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