Existence of bounded positive solutions of quasi-linear elliptic equations

摘要

Existence of bounded positive solutions of a class of quasi-linear elliptic equation is obtained in exterior domain of R~N, N≥1. Firstly, by using fixed point theory, the existence theorem of a class of ordinary differential equation is established. Then, by constructing super-solution and subsolution, the existence of bounded positive solutions of quasi-linear elliptic equation is given. The results of this article are new and extend previously known results.