Critical stationary Kirchhoff equations in $\mathbb R^N$ involving nonlocal operators
Patrizia Pucci, Sara Saldi · Revista Matemática Iberoamericana · 2016
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 \Lambda and involves two superlinear nonlinearities, one of which could be critical or even supercritical.