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

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},
publisher = {Elsevier},
volume = {27},
number = {2},
year = {2010},
pages = {763-771},
doi = {10.1016/j.anihpc.2009.11.003},
zbl = {1187.35096},
mrnumber = {2595200},
language = {en},
url = {http://www.numdam.org/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, Volume 27 (2010) no. 2, pp. 763-771. doi : 10.1016/j.anihpc.2009.11.003. http://www.numdam.org/item/AIHPC_2010__27_2_763_0/

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