Geodesic
Systems of Inclusions Involving Fredholm Operators and Noncompact Maps
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 1, pp. 119-158.

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

We consider the existence of solutions to the system of two inclusions involving Fredholm operators of nonnegative index and the so-called fundamentally restrictible maps with not necessarily convex values. We apply the technique of a solution map and, since the assumptions admit a 'dimension defect', we use the coincidence index, i.e. the homotopy invariant based on the cohomotopy theory. Two examples of applications to boundary value problems are included.
In questa nota si studia l'esistenza di soluzioni per un sistema di due inclusioni con operatori di Fredholm aventi indice non negativo e multifunzioni «fondamentalmente restringibili» e a valori non necessariamente convessi. Si applica la tecnica della mappa soluzione e, poiché le ipotesi consentono un «difetto di dimensione», l'indice di coincidenza, cioé un invariante omotopico basato sulla teoria della co-omotopia. Si forniscono poi due applicazioni ai problemi ai limiti. 
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Gabor, Dorota. Systems of Inclusions Involving Fredholm Operators and Noncompact Maps. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 1, pp. 119-158. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_1_a7/

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