含有Hardy势和Sobolev临界指数的p-双调和方程解的多重性

Multiplicity of Solutions for p-Biharmonic Equations with Hardy Potential and Sobolev Critical Exponents

本文研究如下带有Hardy势和Sobolev临界指数的p-双调和方程其中是一个包含原点的开的有界集,为外法向量导数。通过变分法证明了当λ > 0时方程的多解性。

In this paper, we study the following p-biharmonic equations with Hardy potential and Sobolev critical exponents , where is a bounded open set containing the origin, is the outward normal derivative. When λ > 0, the multiplicity of solutions to above equation is established by using the variational methods.