Sunto
Sia P l'operatore definito nello spazio L2(Ω) ponendo u = Pf in(11″). Si dimostra che questo operatore (differenziabile secondo Fréchet nell'origine (vedi teorema 1) e si utilizza questo risultato per caratterizzare i punti di biforcazione per il problema non lineare(25) (vedi teorema 2).
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References
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Entrata in Redazione l'll settembre 1975.
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Beirão da Veiga, H. Differentiability and bifurcation points for a class of monotone nonlinear operators. Annali di Matematica 110, 321–333 (1976). https://doi.org/10.1007/BF02418011
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DOI: https://doi.org/10.1007/BF02418011