caa a22 4500 606210075 CHVBK 20210128101031.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00032-015-0245-y doi (NATIONALLICENCE)springer-10.1007/s00032-015-0245-y The Descending Flow Method and Existence of Solutions for a Class of Elliptic Equations [Elektronische Daten] [Marcelo Montenegro, Adilson Presoto] We minimize the energy functional on invariant sets by the minus gradient flow. We characterize invariant sets by this flow and we identify disjoint invariant sets in which the functional is bounded from below, leading us to get three distinct solutions: a positive, a negative and a sign-changing one. Springer Basel, 2015 Gradient flow nationallicence general Palais-Smale condition nationallicence invariant sets nationallicence semilinear elliptic problem nationallicence existence of multiple solutions nationallicence Montenegro Marcelo Departamento de Matemática, Universidade Estadual de Campinas, IMECC, Rua Sérgio Buarque de Holanda, 651, CEP 13083-859, Campinas, SP, Brasil aut Presoto Adilson Departamento de Matemática, Universidade Federal de São Carlos, Rodovia Washington Lus, Km 235, CEP 13565-905, São Carlos, SP, Brasil aut Milan Journal of Mathematics Springer Basel 83/2(2015-12-01), 313-326 1424-9286 83:2<313 2015 83 32 https://doi.org/10.1007/s00032-015-0245-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00032-015-0245-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Montenegro Marcelo Departamento de Matemática, Universidade Estadual de Campinas, IMECC, Rua Sérgio Buarque de Holanda, 651, CEP 13083-859, Campinas, SP, Brasil aut NATIONALLICENCE 700 1- Presoto Adilson Departamento de Matemática, Universidade Federal de São Carlos, Rodovia Washington Lus, Km 235, CEP 13565-905, São Carlos, SP, Brasil aut NATIONALLICENCE 773 0- Milan Journal of Mathematics Springer Basel 83/2(2015-12-01), 313-326 1424-9286 83:2<313 2015 83 32