Geodesic
Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 2, pp. 763-771

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In this paper we show the existence of multiple solutions to a class of quasilinear elliptic equations when the continuous nonlinearity has a positive zero and it satisfies a p-linear condition only at zero. In particular, our approach allows us to consider superlinear, critical and supercritical nonlinearities.

@article{AIHPC_2010__27_2_763_0,
     author = {Iturriaga, Leonelo and Lorca, Sebasti\'an and Massa, Eugenio},
     title = {Positive solutions for the {\protect\emph{p}-Laplacian} involving critical and supercritical nonlinearities with zeros},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {763--771},
     publisher = {Elsevier},
     volume = {27},
     number = {2},
     year = {2010},
     doi = {10.1016/j.anihpc.2009.11.003},
     mrnumber = {2595200},
     zbl = {1187.35096},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.11.003/}
}
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Iturriaga, Leonelo; Lorca, Sebastián; Massa, Eugenio. Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 2, pp. 763-771. doi: 10.1016/j.anihpc.2009.11.003

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