Sign Changing Solutions of the 𝑝(𝑥)-Laplacian Equation

Proceedings Mathematical Sciences

Bin Ge¹ 

[1] Department of Mathematics, Harbin Engineering University, Harbin 000, People’s Republic of China$$

关键词: 𝑝(𝑥)-Laplacian;    elliptic equation;    Nehari manifold;    nodal solution.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

This paper deals with the variational and Nehari manifold method for the 𝑝(𝑥)-Laplacian equations in a bounded domain or in the whole space. We prove existence of sign changing solutions under certain conditions.

【 授权许可】

Unknown