Топологічний семінар Інституту математики НАН України
A Class of Functionals on the Sequence Space s Satisfying the Palais-Smale Condition
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Description
In this talk, we introduce a class of functionals on the sequence space s and prove they satisfy the Palais-Smale (PS) condition, which guarantees the existence of a unique global minimum. We then apply these results to solve specific nonlinear operator problems on function spaces.