In this paper, we consider the principal on R^n, and we find a comparison principle for such semi-linear sub-elliptic equation in the whole R^n and infinitely many positive solutions of the problem. eigenvalue problem...In this paper, we consider the principal on R^n, and we find a comparison principle for such semi-linear sub-elliptic equation in the whole R^n and infinitely many positive solutions of the problem. eigenvalue problem for Hormander's Laplacian principal eigenvalues. We also study a related prove that, under a suitable condition, we have展开更多
基金This work is supported in part by the Key 973 Project of China
文摘In this paper, we consider the principal on R^n, and we find a comparison principle for such semi-linear sub-elliptic equation in the whole R^n and infinitely many positive solutions of the problem. eigenvalue problem for Hormander's Laplacian principal eigenvalues. We also study a related prove that, under a suitable condition, we have