Some remarks on sub-elliptic equations

Li Ma; Dezhong Chen; Yang Yang

Some remarks on sub-elliptic equations

Analysis of PDEs 2009-10-14 v2 Differential Geometry

Authors: Li Ma , Dezhong Chen , Yang Yang

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.

Keywords

elliptic partial differential equations laplacian eigenvalues partial differential equations

Cite

@article{arxiv.math/0305068,
  title  = {Some remarks on sub-elliptic equations},
  author = {Li Ma and Dezhong Chen and Yang Yang},
  journal= {arXiv preprint arXiv:math/0305068},
  year   = {2009}
}

Comments

published in Acta Math. Sinica

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