Critical sets of nonlinear Sturm-Liouville operators of Ambrosetti-Prodi type

DOI10.1088/0951-7715/15/4/306zbMath1017.34021arXivmath/0102161OpenAlexW3105450459MaRDI QIDQ3147779

Carlos Tomei, Hamilton P. Bueno

Publication date: 13 August 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0102161

zbMATH Keywords

critical pointPrüfer angleAmbrosetti-Prodi type

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Geometric methods in ordinary differential equations (34A26) Sturm-Liouville theory (34B24) Nonlinear ordinary differential operators (34L30)

Related Items (5)

An Ambrosetti–Prodi-type result for a quasilinear Neumann problem ⋮ The topology of the monodromy map of a second order ODE ⋮ The geometry of the critical set of nonlinear periodic Sturm-Liouville operators ⋮ Riccati map on \(L_{0}^{2}(\mathbb T)\) and its applications ⋮ Results on infinite-dimensional topology and applications to the structure of the critical set of nonlinear Sturm--Liouville operators

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