Multiple Solutions for a Kirchhoff-type Problem with Vanishing Nonlocal Term and Fractional p-Laplacian

The goal of the paper is to investigate a Kirchhoff-type elliptic problem driven by a generalized nonlocal fractional p -Laplacian whose nonlocal term vanishes at finitely many points. Multiple nontrivial solutions are obtained by applying a variational method combined with truncation techniques.

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Bibliographic Details
Published in:Frontiers of Mathematics 2023-09, Vol.18 (5), p.1067-1082
Main Authors: Liu, Zhenhai, Motreanu, Dumitru, Zeng, Shengda
Format: Article
Language:English
Subjects:
Approximation
Kirchhoff theory
Laplace equation
Mathematics
Mathematics and Statistics
Research Article
Citations: Items that this one cites
Online Access:Get full text
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Description
Summary:The goal of the paper is to investigate a Kirchhoff-type elliptic problem driven by a generalized nonlocal fractional p -Laplacian whose nonlocal term vanishes at finitely many points. Multiple nontrivial solutions are obtained by applying a variational method combined with truncation techniques.
ISSN:2731-8648
1673-3452
2731-8656
1673-3576
DOI:10.1007/s11464-021-0019-5