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.
Cite this article
David Arcoya, José Carmona, On two problems studied by A. Ambrosetti. J. Eur. Math. Soc. 8 (2006), no. 2, pp. 181–188DOI 10.4171/JEMS/45