Geodesic
Systems of Inclusions Involving Fredholm Operators and Noncompact Maps
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 1, pp. 119-158
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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. 
@article{BUMI_2007_8_10B_1_a7,
     author = {Gabor, Dorota},
     title = {Systems of {Inclusions} {Involving} {Fredholm} {Operators} and {Noncompact} {Maps}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {119--158},
     year = {2007},
     volume = {Ser. 8, 10B},
     number = {1},
     zbl = {1129.34006},
     mrnumber = {2310962},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_1_a7/}
}
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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/