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The Nehari manifold's extreme value for nonlocal singular Schrödinger–Kirchhoff equations in RN.

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Τίτλος: The Nehari manifold's extreme value for nonlocal singular Schrödinger–Kirchhoff equations in RN.
Συγγραφείς: Mahanta, Deepak Kumar1 (AUTHOR), Mukherjee, Tuhina1 (AUTHOR), Sarkar, Abhishek1 (AUTHOR) abhisheks@iitj.ac.in
Πηγή: Complex Variables & Elliptic Equations. Oct2026, Vol. 71 Issue 10, p2028-2067. 40p.
Θεματικοί όροι: *Multiplicity (Mathematics), *Integro-differential equations, *Boundary value problems, *Nonlinear theories, *Fiber bundles (Mathematics)
People: Schroedinger, Erwin, 1887-1961
Περίληψη: This article investigates the existence, non-existence, and multiplicity of weak solutions for a parameter-dependent nonlocal Schrödinger–Kirchhoff type problem on $ \mathbb R^N $ R N involving singular nonlinearity. By performing fine analysis based on Nehari submanifolds and fibre maps, our goal is to show the problem has at least two positive solutions even if λ lies beyond the extremal parameter $ \lambda _\ast $ λ ∗ . [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
Περιγραφή
ISSN:17476933
DOI:10.1080/17476933.2025.2562486