General second order conditions for extrema of functionals

Details General second order conditions for extrema of functionals General second order conditions for extrema of functionals

2010-08-07

arxiv.org/abs/1008.1332v1

Mathematics

Analysis of PDEs

Scientific paper

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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