An extremal property of the inf- and sup-convolutions regarding the Strong Maximum Principle
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Abstract
In this paper we continue investigations started in [6] concerning the
extension of the variational Strong Maximum Principle for lagrangeans depending
on the gradient through a Minkowski gauge. We essentially enlarge the class of
comparison functions, which substitute the identical zero when the lagrangean is
not longer strictly convex at the origin
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In V.I. Burenkov, M.I. Goldman, E.B. Laneev, V.D. Stepanov (eds) Progress in Analysis, Proc. of the 8 ISAAC Congress, August 21-26, 2011, Peoples' Friendship University of Russia, Moscow, V.2 (2012), 185-195