Well-posedness of constrained minimization problems via saddle-points

DOI10.1007/S10898-007-9180-YzbMath1194.49034arXivmath/0703931OpenAlexW2046167665MaRDI QIDQ2481081

Biagio Ricceri

Publication date: 14 April 2008

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703931

zbMATH Keywords

Well-posednessMinimaxConstrained minimization problemSaddle-point

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40)

Related Items (10)

Existence of solutions for \(p\)-Laplacian discrete equations ⋮ Fixed points of nonexpansive potential operators in Hilbert spaces ⋮ On a critical Kirchhoff-type problem ⋮ Existence of heteroclinic solutions for discrete \(p\)-Laplacian problems with a parameter ⋮ A new topological minimax theorem with application ⋮ On a singular semilinear elliptic problem with an asymptotically linear nonlinearity ⋮ Multiple solutions for discrete boundary value problems ⋮ Unnamed Item ⋮ On the applications of a minimax theorem ⋮ Integral Functionals on L^p-Spaces: Infima Over Sublevel Sets

Cites Work

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• On the existence and uniqueness of minima and maxima on spheres of the integral functional of the calculus of variations
• On good connected preimages
• Minimax theorems for limits of parametrized functions having at most one local minimum lying in a certain set
• Uniqueness properties of functionals with Lipschitzian derivative
• The problem of minimizing locally a 𝐶² functional around non-critical points is well-posed

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