Remark to the main problem of calculus of variations. (English) Zbl 1479.49006

A new sufficient condition is obtained for the existence of a weak minimum of a functional that arises in the calculus of variations. In contrast to the classical approach, the Jacobi equation doesn’t need to be integrated, which is more convenient than the Jacobi method.


49J20 Existence theories for optimal control problems involving partial differential equations
Full Text: DOI


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