Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros
Iturriaga, Leonelo ; Lorca, Sebastián ; Massa, Eugenio
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010), p. 763-771 / Harvested from Numdam
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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 p-Laplacian involving critical and supercritical nonlinearities with zeros},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {27},
     year = {2010},
     pages = {763-771},
     doi = {10.1016/j.anihpc.2009.11.003},
     mrnumber = {2595200},
     zbl = {1187.35096},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_2010__27_2_763_0}
}

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) pp. 763-771. doi : 10.1016/j.anihpc.2009.11.003. http://gdmltest.u-ga.fr/item/AIHPC_2010__27_2_763_0/

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