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]

Critical stationary Kirchhoff equations in R^N involving nonlocal operators

SALDI, SARA
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
32
1
22
Patrizia Pucci; Sara Saldi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/884720
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