Geodesic
The structure of the solution set of some nonlinear problems
Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 65 (1978) no. 6, pp. 239-243.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Per equazioni operazionali $Lu + Nu = h$, $L$ ed $N$ operatori in uno spazio di Hilbert reale $X$, $L$ lineare, $N$ non lineare, e sotto moderate ipotesi su $L$ ed $N$, l'insieme delle soluzioni è, generalmente, una varietà di dimensione uguale all'indice di Fredholm di $L$. Precisamente, questo accade effettivamente se la proiezione di $h$ su un opportuno sottospazio $E$ di dimensione finita in $X$ non cade su un certo insieme $Z$ di $E$, di misura zero oppure di prima categoria. 
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     title = {The structure of the solution set of some nonlinear problems},
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McKenna, P.J.; Shaw, Howard. The structure of the solution set of some nonlinear problems. Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 65 (1978) no. 6, pp. 239-243. http://geodesic.mathdoc.fr/item/RLINA_1978_8_65_6_a1/

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