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Minimax Theory and its Applications 04 (2019), No. 2, 271--280 Copyright Heldermann Verlag 2019 On an Open Question of Ricceri Concerning a Kirchhoff-Type Problem Francesca Faraci Dept. of Mathematics and Computer Science, University of Catania, Viale Andrea Doria 6, 95125 Catania, Italy ffaraci@dmi.unict.it Csaba Farkas Dept. of Mathematics and Computer Science, Sapientia University, 540485 Tārgu-Mures, Romania and: Institute of Applied Mathematics, Obuda University, 1034 Budapest, Hungary farkascs@ms.sapientia.ro We prove a multiplicity result for a Kirchhoff type problem involving a critical term, giving a partial positive answer to a problem raised by Ricceri. Keywords: Kirchhoff type problems, critical growth, mutliplicity of global minima. MSC: 35J20, 35B33. [ Fulltext-pdf (102 KB)] for subscribers only. |