R^N上一类拟线性Schr?dinger方程的Nehari流形解

Nehari Method to Solutions for a Class of Quasilinear Schr?dinger Equations in R^N

研究R^N上一类带参数的拟线性Schr?dinger方程的正解,通过Nehari流形和Schwarz对称化的方法,分别证明了在两种不同条件下方程的解的存在性.

We consider the existence of positive solutions to a class of quasilinear SchrSdinger equations with a parameter. By the Nehari argument and Schwarz symmetrization method, the existence of solutions in two different cases is established.