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
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。
Abstract: 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.
文章引用：候梦梦, 魏公明. 含有Hardy势和Sobolev临界指数的p-双调和方程解的多重性[J]. 理论数学, 2022, 12(11): 1954-1965. https://doi.org/10.12677/PM.2022.1211211

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