A topological approach to nonlocal elliptic partial differential equations on an annulus

A topological approach to nonlocal elliptic partial differential equations on an annulus

For q≥1 we consider the nonlocal ordinary differential equation −a∫01|y|qdsy′′(t)=λf(t,y(t)),0

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Veröffentlicht in:Mathematische Nachrichten 2021-02, Vol.294 (2), p.286-309
1. Verfasser: Goodrich, Christopher S.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
coercivity
Dirichlet problem
Elliptic functions
elliptic PDE
Hammerstein integral equation
Mathematical analysis
nonlocal differential equation
Ordinary differential equations
Partial differential equations
positive solution
Topology
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Zusammenfassung:For q≥1 we consider the nonlocal ordinary differential equation −a∫01|y|qdsy′′(t)=λf(t,y(t)),0
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201900204