2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169903We consider a system of weakly coupled singularly perturbed semilinear elliptic equations. First, we obtain a Lipschitz regularity result for the associated ground energy function $Σ$ as well as representation formulas for the left and the right derivatives. Then, we show that the concentration points of the solutions locate close to the critical points of $Σ$ in the sense of subdifferential calculus.To appear on Advanced Nonlinear Studies, 21 pagesAnalysis of PDEs35J65; 35Q40; 35Q55; 83C50Locating the peaks of semilinear elliptic systemstext