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.
2016
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1237507
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