Shorter Notes: A Classical Variational Principle for Periodic Hamiltonian Trajectories
From MaRDI portal
Publication:3873618
DOI10.2307/2042942zbMath0434.70022OpenAlexW2075172831MaRDI QIDQ3873618
Publication date: 1979
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2042942
Legendre transformTonelli existence theoremexistence of periodic solutionsconvex energy surfaceHilbert's multiplier rule
Related Items
Symplectic homology of convex domains and Clarke's duality, Remarks on symplectic capacities of p-products, Unnamed Item, Topological characteristics of extremals of variational problems, Subharmonics with minimal periods for convex discrete Hamiltonian systems, On the symplectic size of convex polytopes, Representation formula for symmetrical symplectic capacity and applications, Generalizations of Ekeland-Hofer and Hofer-Zehnder symplectic capacities and applications, On the Ekeland-Hofer-Zehnder Capacity of Difference Body, Viterbo's conjecture as a worm problem, Periodic solutions of delay differential systems via Hamiltonian systems, Hamiltonian systems with controls, A priori bounds for periodic solutions of a class of Hamiltonian systems, Ekeland Duality as a Paradigm, On a class of two-point boundary value problems with singular boundary conditions, Non-convex self-dual Lagrangians: new variational principles of symmetric boundary value problems, Critical duality, Applications of Clark duality to periodic solutions with minimal period for discrete Hamiltonian systems, Periodic and subharmonic solutions for a class of second-order \( p\)-Laplacian Hamiltonian systems, Mahler's conjecture for some hyperplane sections, A non-squeezing theorem for convex symplectic images of the Hilbert ball, A class of periodic orbits in classical mechanics, Existence results for a supercritical Neumann problem with a convex -- concave non-linearity, Periodic solutions of nonlinear vibrating strings and duality principles, Periodic solutions to differential inclusions, Systolic ratio, index of closed orbits and convexity for tight contact forms on the three-sphere, Analytic solutions and triality theory for nonconvex and nonsmooth variational problems with applications, Nonlocal generalization of the Lyapunov theorem, Clarke duality for Hamiltonian systems with nonstandard growth, Multiplicity results for an inhomogeneous Neumann problem with critical exponent, On the structure of Besse convex contact spheres