Existence of solutions for subquadratic convex or $B$-concave operator equations and applications to second order Hamiltonian systems

DOI10.14232/EJQTDE.2020.1.49zbMath1488.37049OpenAlexW3045561379MaRDI QIDQ5149879

Ming-Liang Song

Publication date: 8 February 2021

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2020.1.49

zbMATH Keywords

critical pointindex theoryoperator equationssecond-order Hamiltonian systemssubquadratic

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)

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Existence of three solutions for nonlinear operator equations and applications to second-order differential equations ⋮ Multiple solutions for second-order Sturm-Liouville boundary value problems with subquadratic potentials at zero

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