A priori estimates of stationary solutions of an activator-inhibitor system

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118104We consider positive solutions of the stationary Gierer-Meinhardt system. Under suitable conditions on the exponents $p,q,r$ and $s$, different types of a priori estimates are obtained, existence and non-existence results of nontrivial solutions are derived, for both positive and zero source production cases.40 pagesAnalysis of PDEsPrimary: 35B45, 35J55; Secondary: 92C15A priori estimates of stationary solutions of an activator-inhibitor systemtext