Multiplicity of global minima for parametrized functions

DOI10.4171/RLM/560zbMath1189.49005MaRDI QIDQ966207

Biagio Ricceri

Publication date: 23 April 2010

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/journal.php?jrn=rlm

zbMATH Keywords

parametric optimizationmultiplicityglobal minimumminimax inequality

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Existence of solutions for minimax problems (49J35) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27)

Related Items (6)

A strict minimax inequality criterion and some of its consequences ⋮ Multiple critical points for non-differentiable parametrized functionals and applications to differential inclusions ⋮ A note on a question of Ricceri ⋮ Unnamed Item ⋮ On the applications of a minimax theorem ⋮ Multiple solutions of Dirichlet problems on the Sierpinski gasket

Cites Work

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• Some topological mini-max theorems via an alternative principle for multifunctions
• On a minimax theorem
• On a minimax problem of Ricceri

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