Critical stationary Kirchhoff equations in RN involving nonlocal operators

• Autores: Patrizia Pucci, Sara Saldi
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 32, Nº 1, 2016, págs. 1-22
• Idioma: inglés
• DOI: 10.4171/RMI/879
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• Resumen

  • 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 Λ and involves two superlinear nonlinearities, one of which could be critical or even supercritical.