Some results on the existence and multiplicity of Dirichlet type solutions for a singular equation coming from a Kepler problem on the sphere

DOI10.1016/J.NONRWA.2018.07.015zbMath1417.34061OpenAlexW2884582368WikidataQ129441367 ScholiaQ129441367MaRDI QIDQ1729167

Manuel Zamora, José Godoy

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.07.015

zbMATH Keywords

Leray-Schauder continuation theoremtopological degree theorysingular differential equationsDirichlet solutionsKepler problem on \(\mathbb{S}^2\)

Mathematics Subject Classification ID

Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Cites Work

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• Periodic Solutions of an Indefinite Singular Equation Arising from the Kepler Problem on the Sphere
• Polygonal homographic orbits in spaces of constant curvature
• Dynamics and Regularization of the Kepler Problem on Surfaces of Constant Curvature

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