Multiplicity of solutions of Dirichlet problems associated with second-order equations in ℝ2

DOI10.1017/S0013091506000897zbMath1195.34032OpenAlexW1999426890MaRDI QIDQ3643344

Francesca Dalbono, Carlota Rebelo

Publication date: 11 November 2009

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091506000897

zbMATH Keywords

multiplicityMorse indexasymptotically linearsecond orderplanar systems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (5)

Sign-preserving solutions for a class of asymptotically linear systems of second-order ordinary differential equations ⋮ Multiple solutions for generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions ⋮ A multiplicity result for a class of strongly indefinite asymptotically linear second order systems ⋮ Multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Sturm-Liouville boundary conditions ⋮ Branches of index-preserving solutions to systems of second order ODEs

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