Multibump solutions to possibly degenerate equilibria for almost periodic Lagrangian systems

DOI10.1007/s000330050184zbMath0960.70018OpenAlexW2063333145MaRDI QIDQ1969069

Piero Montecchiari, Francesca Alessio, Maria Letizia Bertotti

Publication date: 10 May 2001

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000330050184

zbMATH Keywords

variational methodsequilibriaLagrangian systemsasymptotic conditionsexistence of heteroclinic solutionsmultibump chaotic dynamics

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Lagrange's equations (70H03)

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Gradient Lagrangian systems and semilinear PDE ⋮ Homoclinics for strongly indefinite almost periodic second order Hamiltonian systems ⋮ On the existence of multi-transition solutions for a class of elliptic systems ⋮ Chaotic orbits for systems of nonlocal equations ⋮ Solution set splitting at low energy levels in Schrödinger equations with periodic and symmetric potential ⋮ EXISTENCE OF INFINITELY MANY STATIONARY LAYERED SOLUTIONS INR²FOR A CLASS OF PERIODIC ALLEN–CAHN EQUATIONS

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