Fourth order Hamiltonian system with some singular nonlinear term and multiplicity result

DOI10.1186/S13661-016-0638-ZzbMath1350.35184OpenAlexW2500251549WikidataQ59462035 ScholiaQ59462035MaRDI QIDQ737151

Q-Heung Choi, Tacksun Jung

Publication date: 8 August 2016

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

Full work available at URL: https://doi.org/10.1186/s13661-016-0638-z

zbMATH Keywords

critical point theoryminimax methodvariational methodhomology theory\((P.S.)_{c}\) conditionfourth order Hamiltonian systemsingular nonlinear term

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Hamilton's equations (70H05) Weak solutions to PDEs (35D30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Higher-order elliptic equations (35J30) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Cites Work

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• A note on a semilinear elliptic problem
• Multiplicity results on a fourth order nonlinear elliptic equation
• Nondegenerate critical manifolds
• Multiplicity results on a nonlinear biharmonic equation
• Multiplicity results for a fourth-order semilinear elliptic problem

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