A Degenerate Kirchhoff-Type Inclusion Problem with Nonlocal Operator

Dumitru Motreanu ()
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Dumitru Motreanu: Université de Perpignan

A chapter in Nonlinear Analysis and Global Optimization, 2021, pp 309-329 from Springer

Abstract: Abstract The chapter focuses on a Kirchhoff-type elliptic inclusion problem driven by a generalized nonlocal fractional p-Laplacian whose nonlocal term vanishes at finitely many points and for which the multivalued term is in the form of the generalized gradient of a locally Lipschitz function. The corresponding elliptic equation has been treated in (Liu et al., Existence of solutions to Kirchhoff-type problem with vanishing nonlocal term and fractional p-Laplacian). Multiple nontrivial solutions are obtained by applying the nonsmooth critical point theory combined with truncation techniques.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-61732-5_14

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DOI: 10.1007/978-3-030-61732-5_14

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