Geodesic
On two problems studied by A. Ambrosetti
Journal of the European Mathematical Society, Tome 8 (2006) no. 2, pp. 181-188 Cet article a éte moissonné depuis la source EMS Press

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We study the Ambrosetti-Prodi and Ambrosetti-Rabinowitz problems. We prove for the first one the existence of a continuum of solutions with shape of a reflected C (⊃-shape). Next, we show that there is a relationship between these two problems.
DOI : 10.4171/jems/45
Classification : 35-XX, 58-XX, 00-XX
Keywords: Ambrosetti-Prodi and Ambrosetti-Rabinowitz problems, topological degree, a priori bound 
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     author = {David Arcoya and Jos\'e Carmona},
     title = {On two problems studied by {A.} {Ambrosetti}},
     journal = {Journal of the European Mathematical Society},
     pages = {181--188},
     year = {2006},
     volume = {8},
     number = {2},
     doi = {10.4171/jems/45},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/45/}
}
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David Arcoya; José Carmona. On two problems studied by A. Ambrosetti. Journal of the European Mathematical Society, Tome 8 (2006) no. 2, pp. 181-188. doi: 10.4171/jems/45

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