On the existence of nontrivial solutions for a nonlinear equation relative to a measure-valued Lagrangian on homogeneous spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60096We prove the existence of a non-trivial solution for a nonlinear equation related to a measure-valued Lagrangian. The result is based on a compact embedding theorem of the Lagrangian domain and on the application of the Mountain Pass Theorem joined to a Palais-Smale condition.LaTeX, 8 pagesAnalysis of PDEsOn the existence of nontrivial solutions for a nonlinear equation relative to a measure-valued Lagrangian on homogeneous spacestext