2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76232This is a slightly modified version of the survey article. Minor changes to the text and the references have been made.Analysis of PDEsMathematical Physics35B35, 35B40, 35Q51, 35Q55Spectral Theory and Nonlinear PDE: a Surveytext