An exact estimate result for singular p-Laplacian equations with sign-changing potential

摘要

In this paper, we study the multiplicity of positive solutions for a singular p-Laplacian problem with sign-changing potential. By the Nehari method and some analysis techniques, we obtain two positive solutions and point out one of the two positive solutions is a ground state solution. Moreover, we provide an exact estimate to ensure the singular p-Laplacian problem has two positive solutions. (C) 2018 Elsevier Ltd. All rights reserved.