The Nehari manifold for a critical Choquard system involving sign-changing logarithmic nonlinearities

Abstract

In this paper, we consider a bounded domain \(\Omega \subset \mathbb {R}^N\)(\(N\ge 3\)) with smooth boundary, and by using the Nehari manifold argument, we obtain the multiplicity of nontrivial and nonnegative solutions for a critical Choquard system involving sign-changing logarithmic nonlinearities.