Infinitely many solutions for a double Sturm-Liouville problem

DOI10.1007/s10898-011-9781-3zbMath1403.34026OpenAlexW1971368139MaRDI QIDQ1928315

Giuseppina D'Aguì

Publication date: 3 January 2013

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-011-9781-3

zbMATH Keywords

Sturm-Liouville problemmultiple solutionsSturm-Liouville equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (6)

Multiple solutions for systems of Sturm-Liouville boundary value problems ⋮ Positive solutions for the Neumann \(p\)-Laplacian ⋮ NONTRIVIAL SOLUTIONS FOR STURM–LIOUVILLE SYSTEMS VIA A LOCAL MINIMUM THEOREM FOR FUNCTIONALS ⋮ Infinitely many solutions for a class of fractional boundary value problems with nonsmooth potential ⋮ Variational approaches to systems of Sturm–Liouville boundary value problems ⋮ Infinitely many solutions to boundary value problem for fractional differential equations

Cites Work

• Exact relaxations of non-convex variational problems
• A Neumann boundary value problem for the Sturm-Liouville equation
• Second-order Sturm-Liouville boundary value problem involving the one-dimensional \(p\)-Laplacian
• Multiplicity results for Sturm-Liouville boundary value problems
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• Nonlinear analysis and variational problems. In Honor of George Isac
• A general variational principle and some of its applications
• On the Neumann problem for elliptic equations involving the \(p\)-Laplacian

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