2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109880A result of existence of homogeneous scalar field solutions between prescribed configurations is given, using a modified version of Euler--Maupertuis least action variational principle. Solutions are obtained as limit of approximating variational problems, solved using techniques introduced by Rabinowitz.General Relativity and Quantum CosmologyFunctional Analysistext