An exact estimate result for p-biharmonic equations with Hardy potential and negative exponents

Abstract

Abstract In this paper, p-biharmonic equations involving Hardy potential and negative exponents with a parameter λ are considered. By means of the structure and properties of Nehari manifold, we give uniform lower bounds for Λ>0 $\varLambda >0$, which is the supremum of the set of λ. When λ∈(0,Λ) $\lambda \in (0, \varLambda )$, the above problems admit at least two positive solutions.

Keywords

• p-biharmonic equation
• Nehari manifold
• Positive solution
• Negative exponents