Deformation of functionals having a unique critical point

DOI10.1007/BF01140348zbMath0546.49002OpenAlexW2318453913MaRDI QIDQ797822

N. A. Bobylev

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01140348

zbMATH Keywords

integral functionalsWirtinger's inequalitynondegenerate deformation

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Inequalities and extremum problems involving convexity in convex geometry (52A40) Existence theories for problems in abstract spaces (49J27) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (4)

Ritz method for approximate solution of optimization problems ⋮ Investigation scheme for extremals of multidimensional variational problems ⋮ Topological characteristics of extremals of variational problems ⋮ On the deformation method of study of global asymptotic stability

Cites Work

• Unnamed Item
• Nonlinear eigenvalue problems and Galerkin approximations
• Uniqueness of Solutions of Boundary Value Problems
• Nonlinear Eigenvalue Problems and Group Invariance

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