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arxiv: 1008.1332 · v1 · pith:KHU4X4VGnew · submitted 2010-08-07 · 🧮 math.AP

General second order conditions for extrema of functionals

classification 🧮 math.AP
keywords orderconditionsextremasecondanalysiscontinuouslydependentdifferentiable
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We prove both necessary and sufficient second order conditions of extrema for variational problems involving any higher order continuously twice differentiable Lagrangians with multi-valued dependent functions of several variables. Our analysis is performed in the framework of the finite dimensional total jet space.

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