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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.

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