On two problems studied by A. Ambrosetti
Journal of the European Mathematical Society, Tome 8 (2006) no. 2, pp. 181-188.

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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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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. http://geodesic.mathdoc.fr/articles/10.4171/jems/45/

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