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Minimax results with respect to different altitudes in the situation of linking. (English) Zbl 07095350
Summary: 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.
MSC:
49-XX Calculus of variations and optimal control; optimization
54-XX General topology
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