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

作　　者：候梦梦 魏公明[1] 

机构地区：[1]上海理工大学理学院,上海

出　　处：《理论数学》2022年第11期1954-1965,共12页Pure Mathematics

摘　　要：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.

关 键 词：p-双调和方程 多解性 Hardy势 SOBOLEV临界指数 

分 类 号：O175[理学—数学]