Multiple solutions for a BVP on \((0,+\infty)\) via Morse theory and \(H^1_{0,p}(\mathbb{R}^+)\) versus \(C^1_{p}(\mathbb{R}^+)\) local minimizers

DOI10.1007/s40065-015-0136-7zbMath1341.34037OpenAlexW1902139412WikidataQ59438267 ScholiaQ59438267MaRDI QIDQ5964838

Toufik Moussaoui, Karima Ait-Mahiout, Smaïl Djebali

Publication date: 1 March 2016

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-015-0136-7

zbMATH Keywords

Morse theorylocal minimizerlocal minimizer second order BVPsecond order BVPsign condition

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) Variational principles in infinite-dimensional spaces (58E30) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

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Existence results for a sublinear second order Dirichlet boundary value problem on the half-line

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