Multiple Solutions of Neumann Systems of Relativistic Type
Keywords:
Neumann problem, mean curvature operator, global minimum, well-posedness.Abstract
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.
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