Nontrivial solutions of the asymmetric beam system with jumping nonlinear terms

DOI10.1155/2010/728101zbMath1207.35269OpenAlexW2025923585WikidataQ59253147 ScholiaQ59253147MaRDI QIDQ610825

Q-Heung Choi, Tacksun Jung

Publication date: 13 December 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223416

zbMATH Keywords

mountain pass theoremcritical pointDirichlet boundary conditionbeam operatorbeam system

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Variational methods applied to PDEs (35A15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

The rate of decay of stable periodic solutions for Duffing equation with \(L^p\)-conditions ⋮ Reversed S-shaped connected component for second-order periodic boundary value problem with sign-changing weight ⋮ Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method ⋮ Exact multiplicity and stability of periodic solutions for Duffing equation with bifurcation method

Cites Work

• Saddle points and multiple solutions of differential equations
• A symmetry theorem and applications to nonlinear partial differential equations
• A note on a semilinear elliptic problem
• Global bifurcation and a theorem of Tarantello
• An application of a variational reduction method to a nonlinear wave equation
• The study of a nonlinear suspension bridge equation by a variational reduction method
• Nontrivial solutions for some fourth order semilinear elliptic problems
• Multiplicity results for a fourth-order semilinear elliptic problem
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

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