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 RN involving nonlocal operators
PUCCI, Patrizia
;
2016
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 and involves two superlinear nonlinearities, one of which could be critical or even supercritical.File in questo prodotto:
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