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    STUDIA MATHEMATICA - Issue no. 1 / 2023  
         
  Article:   MULTIPLICITY THEOREMS INVOLVING FUNCTIONS WITH NON-CONVEX RANGE.

Authors:  BIAGIO RICCERI.
 
       
         
  Abstract:  DOI: 10.24193/subbmath.2023.1.09

Published Online: 2023-03-20
Published Print: 2023-04-30
pp. 125-137

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Here is a sample of the results proved in this paper: Let f : R → R be a continuous function, let ρ > 0 and let ω : [0, ρ[→ [0, ∞[ be a continuous increasing function such that Consider C0([0, 1]) × C0([0, 1]) endowed with the norm Then, the following assertions are equivalent: ...........................

Mathematics Subject Classification (2010): 49J35, 34B10, 41A50, 41A55, 90C26.

Keywords: Minimax, global minimum, multiplicity, non-convex sets, Chebyshev sets, Kirchhoff-type problems.
 
         
     
         
         
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