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.
Critical stationary Kirchhoff equations in R^N involving nonlocal operators / Patrizia Pucci; Sara Saldi. - In: REVISTA MATEMATICA IBEROAMERICANA. - ISSN 0213-2230. - STAMPA. - 32:(2016), pp. 1-22. [10.4171/rmi/879]