Geodesic
The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the p-Laplacian
Journal of the European Mathematical Society, Tome 8 (2006) no. 2, pp. 375-388 Cet article a éte moissonné depuis la source EMS Press

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We prove an Ambrosetti-Prodi-type result for the periodic solutions of equation (∣u′∣p−2u′))′+f(u)u′+g(x,u)=t, when f is arbitrary and g(x,u)→+∞ or g(x,u)→−∞ when ∣u∣→∞. The proof uses upper and lower solutions and Leray-Schauder degree.
DOI : 10.4171/jems/58
Classification : 35-XX, 00-XX
Keywords: Ambrosetti-Prodi problem, periodic solutions, upper and lower solutions, topological degree 
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     author = {Jean Mawhin},
     title = {The periodic {Ambrosetti-Prodi} problem for nonlinear perturbations of the {p-Laplacian}},
     journal = {Journal of the European Mathematical Society},
     pages = {375--388},
     year = {2006},
     volume = {8},
     number = {2},
     doi = {10.4171/jems/58},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/58/}
}
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Jean Mawhin. The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the p-Laplacian. Journal of the European Mathematical Society, Tome 8 (2006) no. 2, pp. 375-388. doi: 10.4171/jems/58

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