The Nehari manifold approach for a class of $$n\times n$$ n × n nonlinear elliptic systems

Abstract

In this paper, by analysis of the relationship between the Nehari manifold and fibering maps, we discuss the existence, multiplicity and nonexistence of positive weak solution for the \((p_1,p_2,\ldots ,p_n)\)-Laplacian systems with sign-changing weight functions.