A system of local/nonlocal p-Laplacians: The eigenvalue problem and its asymptotic limit as p → ∞
In this work, given p ϵ (1, ∞), we prove the existence and simplicity of the first eigenvalue λ p and its corresponding eigenvector (u p, v p), for the following local/nonlocal PDE system (0.1)-δ p u + (-δ) p r u = 2 α α + β λ | u | α-2 | v | β u in ω-δ p v + (-δ) p s v = 2 β α + β λ | u | α | v | β...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOS Press BV
2022
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| Subjects: | |
| Online Access: | View Fulltext in Publisher |