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://www.numdam.org/articles/10.1016/j.anihpc.2009.11.003/} }
TY - JOUR AU - Iturriaga, Leonelo AU - Lorca, Sebastián AU - Massa, Eugenio TI - Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros JO - Annales de l'I.H.P. Analyse non linéaire PY - 2010 SP - 763 EP - 771 VL - 27 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2009.11.003/ DO - 10.1016/j.anihpc.2009.11.003 LA - en ID - AIHPC_2010__27_2_763_0 ER -
%0 Journal Article %A Iturriaga, Leonelo %A Lorca, Sebastián %A Massa, Eugenio %T Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros %J Annales de l'I.H.P. Analyse non linéaire %D 2010 %P 763-771 %V 27 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2009.11.003/ %R 10.1016/j.anihpc.2009.11.003 %G en %F 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) no. 2, pp. 763-771. doi : 10.1016/j.anihpc.2009.11.003. http://www.numdam.org/articles/10.1016/j.anihpc.2009.11.003/
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