,Eigenvalues of Elliptic Systems for the Mixed Problem in Perturbations of Lipschitz Domains with No

• 作 者: MIYAZAKI Kohei TAYLOR Justin L.
• 机 构: Department of Mathematics & Statistics, Murray State University, Murray,Kentucky, U.S.A
• 出 处: 偏微分方程（英文版）
• 发表日期: 2020年1期
• 关键词: Eigenvalues elliptic systems mixed problem perturbed domains

We study eigenvalues of an elliptic operator with mixed boundary conditions on very general decompositions of the boundary.We impose nonhomogeneous conditions on the part of the boundary where the Neumann term lies in a certain Sobolev or Lp space.Our work compares the behavior of and gives a relationship between the eigenvalues and eigenfunctions on the unperturbed and perturbed domains,respectively.