2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73150Modified Rayleigh conjecture (MRC) in scattering theory was proposed and justified by the author (J.Phys A, 35 (2002), L357-L361). MRC allows one to develop efficient numerical algorithms for solving boundary-value problems. It gives an error estimate for solutions. In this paper the MRC is formulated and proved for static problems.Analysis of PDEs35R30text