Remarks on necessary conditions for minimizers of one-dimensional variational problems

DOI10.1016/S0362-546X(00)00228-5zbMath1014.49010MaRDI QIDQ1348208

E. Outkine, M. Sytchev, Cristina Marcelli

Publication date: 8 July 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Euler-Lagrange equationsequential lower semicontinuityconvexity at a pointWeierstrass and Lagrange conditions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Methods involving semicontinuity and convergence; relaxation (49J45) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Optimality conditions for free problems in one independent variable (49K05)

Related Items (6)

A hydrothermal problem with non-smooth Lagrangian ⋮ Necessary and sufficient conditions for optimality of nonconvex, noncoercive autonomous variational problems with constraints ⋮ On the validity of the Euler-Lagrange equation ⋮ Local minimizers of one-dimensional variational problems and obstacle problems ⋮ Another theorem of classical solvability `in small' for one-dimensional variational problems ⋮ Constrained nonsmooth problems of the calculus of variations

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