JournalsrmiVol. 32, No. 1pp. 1–22

Critical stationary Kirchhoff equations in RN\mathbb R^N involving nonlocal operators

  • Patrizia Pucci

    Università degli Studi di Perugia, Italy
  • Sara Saldi

    Università degli Studi di Firenze, Italy
Critical stationary Kirchhoff equations in $\mathbb R^N$ involving nonlocal operators cover

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Abstract

In this paper we establish existence and multiplicity of nontrivial non-negative entire (weak) solutions of a stationary Kirchhoff eigenvalue problem, involving a general nonlocal integro-differential operator. The model under consideration depends on a real parameter Λ\Lambda and involves two superlinear nonlinearities, one of which could be critical or even supercritical.

Cite this article

Patrizia Pucci, Sara Saldi, Critical stationary Kirchhoff equations in RN\mathbb R^N involving nonlocal operators. Rev. Mat. Iberoam. 32 (2016), no. 1, pp. 1–22

DOI 10.4171/RMI/879