Uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities
Analysis of PDEs
2008-11-07 v1
Abstract
We consider semilinear elliptic equations with double power nonlineaities. The condition to assure the existence of positive solutions is well-known. In the present paper, we remark that the additional condition to assure uniqueness proposed by Ouyang and Shi is unnecessary.
Cite
@article{arxiv.0811.0937,
title = {Uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities},
author = {Shinji Kawano},
journal= {arXiv preprint arXiv:0811.0937},
year = {2008}
}