NONTRIVIAL SOLUTIONS FOR STURM–LIOUVILLE SYSTEMS VIA A LOCAL MINIMUM THEOREM FOR FUNCTIONALS
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Publication:5406089
DOI10.1017/S000497271300035XzbMath1292.34026MaRDI QIDQ5406089
Gabriele Bonanno, Shapour Heidarkhani, Donal O'Regan
Publication date: 1 April 2014
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
Related Items (6)
Existence results for an impulsive Sturm-Liouville boundary value problems with mixed double parameters ⋮ Non-trivial solutions for nonlocal elliptic problems of Kirchhoff-type ⋮ Existence of multiple sign-changing solutions for a fourth-order elastic beam equation ⋮ Multiplicity results for a two-point boundary value problem ⋮ Infinitely many solutions for systems of Sturm-Liouville boundary value problems ⋮ Nontrivial solutions for one-dimensional fourth-order Kirchhoff-type equations
Cites Work
- A critical point theorem via the Ekeland variational principle
- On existence of positive solutions of Sturm-Liouville boundary value problems for a nonlinear singular differential system
- 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
- Three fixed-sign solutions of system model with Sturm--Liouville type conditions
- Infinitely many solutions for a double Sturm-Liouville problem
- Non-trivial solutions for a class of (p1,...,pn)-biharmonic systems with Navier boundary conditions
- AN EXISTENCE RESULT OF ONE NONTRIVIAL SOLUTION FOR TWO POINT BOUNDARY VALUE PROBLEMS
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