The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the p-Laplacian

  • Jean Mawhin

    Université Catholique de Louvain, Belgium

Abstract

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. 375–388

DOI 10.4171/JEMS/58