JournalsaihpcVol. 27, No. 2pp. 763–771

Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros

  • Eugenio Massa

    Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Campus de São Carlos, Caixa Postal 668, 13560-970, São Carlos SP, Brazil

  • Sebastián Lorca

    Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile

  • Leonelo Iturriaga

    Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile
Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros cover
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Abstract

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.

Cite this article

Eugenio Massa, Sebastián Lorca, Leonelo Iturriaga, Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 2, pp. 763–771

DOI 10.1016/J.ANIHPC.2009.11.003