Slutskij, A. S. On asymptotics of degenerate elliptic equations of second order in the case of a small perturbation of the boundary of the domain. (Russian) Zbl 0569.35040 Mat. Zametki 37, No. 1, 63-71 (1985). This remark is devoted to the study of the asymptotic decomposition of the solution of the Dirichlet problem for degenerated elliptic equations of second order. Even if a small regular perturbation of the boundary of the domain is considered, the methods of the singular perturbations are applicable in this case. Reviewer: P.Drabek Cited in 1 Review MSC: 35J70 Degenerate elliptic equations 35J67 Boundary values of solutions to elliptic equations and elliptic systems 35B20 Perturbations in context of PDEs 35B25 Singular perturbations in context of PDEs 35J25 Boundary value problems for second-order elliptic equations Keywords:asymptotic decomposition; Dirichlet problem; small regular perturbation of the boundary; singular perturbations PDFBibTeX XMLCite \textit{A. S. Slutskij}, Mat. Zametki 37, No. 1, 63--71 (1985; Zbl 0569.35040)