Rodríguez Bernal, Aníbal2023-06-202023-06-201998-110036-141010.1137/S003614109731864Xhttps://hdl.handle.net/20.500.14352/57890We analyze singular perturbations in elliptic equations, subjected to various boundary conditions, in which the diffusion is going to infinity in localized regions inside the domain and therefore solutions undergo a localized spatial homogenization. The limiting elliptic operator is analyzed as well as convergence of solutions, eigenvalues, and eigenvectors.journal articlehttp://epubs.siam.org/doi/pdf/10.1137/S003614109731864Xhttp://epubs.siam.org/metadata only access517.9Singular perturbationEigenvalue problemsLarge diffusionConvergenceLinear elliptic boundary value problemsLimiting elliptic problemDifferential-equationsAsymptotic-behaviorConstructionSystemsEcuaciones diferenciales1202.07 Ecuaciones en Diferencias