2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110376We show that the only locally integrable stationary solutions to the integrated Kuramoto-Sivashinsky equation in $R$ and $R^2$ are the trivial constant solutions. We extend our technique and prove similar results to other nonlinear elliptic problems in $\R^N$.10 pages, Journal ArticleAnalysis of PDEsMathematical Physics35G30, 35J40, 35J60, 80A25, 80A32text