Variational field theory from the point of view of direct methods

DOI10.1134/S0037446617050160zbMath1383.49012OpenAlexW2765607466MaRDI QIDQ1694716

Mikhail A. Sychev

Publication date: 6 February 2018

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446617050160

zbMATH Keywords

integral functionalsEuler equationminimizerdirect methodsellipticityfield theory

Mathematics Subject Classification ID

Variational inequalities (49J40)

Related Items (2)

Unnamed Item ⋮ Direct methods in variational field theory

Cites Work

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• Regularity theory for one-dimensional variational problems with singular ellipticity
• Pathological solutions to the Euler-Lagrange equation and existence/regularity of minimizers in one-dimensional variational problems
• Another theorem of classical solvability `in small' for one-dimensional variational problems
• Existence and regularity in the small in the calculus of variations
• One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
• Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
• ON THE QUESTION OF REGULARITY OF THE SOLUTIONS OF VARIATIONAL PROBLEMS
• A condition on the value function both necessary and sufficient for full regularity of minimizers of one-dimensional variational problems

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