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Friction Models in the Framework of Set-Valued and Convex Analysis Read chapter Read first chapter

2021 | OriginalPaper | Chapter

A Degenerate Kirchhoff-Type Inclusion Problem with Nonlocal Operator

Author : Dumitru Motreanu

Published in: Nonlinear Analysis and Global Optimization

Publisher: Springer International Publishing

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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.

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Metadata
Title
A Degenerate Kirchhoff-Type Inclusion Problem with Nonlocal Operator
Author
Dumitru Motreanu
Copyright Year
2021
Book
Nonlinear Analysis and Global Optimization

Print ISBN: 978-3-030-61731-8

Electronic ISBN: 978-3-030-61732-5

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-61732-5_14

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