This paper deals with the behavior of eigenvalues for some non-homogeneous elliptic operators. More precisely, we present measure type estimates evaluating neighborhoods of the so-called resonant set. Various problems like the non-homogeneous incompressible limit of the compressible Navier-Stokes equations lead to such studies. This will be the purpose of a forthcoming paper. © 2007 Elsevier Inc. All rights reserved.
Bresch, D., Desjardins, B., & Grenier, E. (2007). Crossing of eigenvalues: Measure type estimates. Journal of Differential Equations, 241(2), 207–224. https://doi.org/10.1016/j.jde.2007.06.018