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On a procedure for the projective fibering of functionals on Banach spaces. (English. Russian original) Zbl 1032.46095
Function spaces, harmonic analysis, and differential equations. Collected papers. Dedicated to the 95th anniversary of academician S. M. Nikol’skii. Transl. from the Russian. Moscow: MAIK Nauka/Interperiodika Publishing, Proc. Steklov Inst. Math. 232, 150-156 (2001); translation from Tr. Mat. Inst. Steklova 232, 156-163 (2001).
Summary: A procedure for explicitly constructing multiple minimization variational problems with additional constraints is substantiated for functionals defined on Banach spaces. This procedure is based on the generalization of Pokhozhaev’s fibering method.
For the entire collection see [Zbl 0981.00017].

46N10 Applications of functional analysis in optimization, convex analysis, mathematical programming, economics
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)