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Principal curves to fractional m-Laplacian systems and related maximum and comparison principles.
- Source :
-
Fractional Calculus & Applied Analysis . Aug2024, Vol. 27 Issue 4, p1948-1971. 24p. - Publication Year :
- 2024
-
Abstract
- In this paper we develop a comprehensive study on principal eigenvalues and both the (weak and strong) maximum and comparison principles related to an important class of nonlinear systems involving fractional m-Laplacian operators. Explicit lower bounds for principal eigenvalues of this system in terms of the diameter of bounded domain Ω ⊂ R N are also proved. As application, we measure explicitly how small has to be diam (Ω) so that weak and strong maximum principles associated to this problem hold in Ω . [ABSTRACT FROM AUTHOR]
- Subjects :
- *MAXIMUM principles (Mathematics)
*NONLINEAR systems
*EIGENVALUES
Subjects
Details
- Language :
- English
- ISSN :
- 13110454
- Volume :
- 27
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Fractional Calculus & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 178504285
- Full Text :
- https://doi.org/10.1007/s13540-024-00293-1