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Minimax Theory and its Applications 03 (2018), No. 1, 047--056
Copyright Heldermann Verlag 2018

Multiple Solutions of Neumann Systems of Relativistic Type

Calin Serban
Department of Mathematics, West University, 4 Blvd. V. Parvan, 300223 Timisoara, Romania

Motivated by the existence of radial solutions to the Neumann problem involving the mean extrinsic curvature operator in Minkowski space, we provide a set of conditions under which some relativistic-type systems has at least two solutions that appear as global minima of the associated functional. The main tool used is an abstract well-posedness result developed by B. Ricceri.

Keywords: Neumann problem, mean curvature operator, global minimum, well-posedness.

MSC: 35B38, 35J50, 49K40

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