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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 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 involving nonlocal operators. Rev. Mat. Iberoam. 32 (2016), no. 1, pp. 1–22