Minimax Results with Respect to Different Altitudes in the Situation of Linking | Zendy

V. V. Motreanu | Zendy

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Minimax Results with Respect to Different Altitudes in the Situation of Linking

Author(s) -

V. V. Motreanu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/781746

Subject(s) - minimax , mathematics , function (biology) , metric space , metric (unit) , set (abstract data type) , compact space , space (punctuation) , continuous function (set theory) , mathematical optimization , pure mathematics , computer science , operations management , evolutionary biology , biology , programming language , operating system , economics

Consider a continuous function on a metric space. In the presence of linking between a compact pair and a closed set, depending on the different behaviors of the function on the linking sets, we establish minimax results guaranteeing existence of Palais-Smale sequences or providing gradient estimates. Our approach relies on deformation techniques

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