We prove an Ambrosetti-Prodi-type result for the periodic solutions of equation when is arbitrary and or when The proof uses upper and lower solutions and Leray-Schauder degree.
Cite this article
Jean Mawhin, The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the p-Laplacian. J. Eur. Math. Soc. 8 (2006), no. 2, pp. 375–388DOI 10.4171/JEMS/58