Existence Results for a Class of the Quasilinear Elliptic Equations with the Logarithmic Nonlinearity

In this paper, the nonlinear quasilinear elliptic problem with the logarithmic nonlinearity −div∇up−2∇u=axφpulogu+hxψpu in Ω⊂Rn was studied. By means of a double perturbation argument and Nehari manifold, the authors obtain the existence results.

Bibliographic Details
Main Authors: Zhoujin Cui, Zisen Mao, Wen Zong, Xiaorong Zhang, Zuodong Yang
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/6545918