TY - JOUR
T1 - Eigenvalues of Elliptic Systems for the Mixed Problem in Perturbations of Lipschitz Domains with Nonhomogeneous Neumann Boundary Conditions
AU - Miyazaki , Kohei
AU - Taylor , Justin L.
JO - Journal of Partial Differential Equations
VL - 1
SP - 48
EP - 63
PY - 2020
DA - 2020/03
SN - 33
DO - http://doi.org/10.4208/jpde.v33.n1.4
UR - https://global-sci.org/intro/article_detail/jpde/15803.html
KW - Eigenvalues, elliptic systems, mixed problem, perturbed domains.
AB - <p style="text-align: justify;">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 $L^p$ space. Our work compares the behavior of and gives a relationship
between the eigenvalues and eigenfunctions on the unperturbed and perturbed domains, respectively.</p>