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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

Csaba Farkas
Dept. of Mathematics and Computer Science, Sapientia University, 540485 Tārgu-Mures, Romania
and: Institute of Applied Mathematics, Obuda University, 1034 Budapest, Hungary

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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